On space of integrable quantum field theories

Abstract

We study deformations of 2D Integrable Quantum Field Theories (IQFT) which preserve integrability (the existence of infinitely many local integrals of motion). The IQFT are understood as "effective field theories", with finite ultraviolet cutoff. We show that for any such IQFT there are infinitely many integrable deformations generated by scalar local fields $X_s$, which are in one-to-one correspondence with the local integrals of motion; moreover, the scalars $X_s$ are built from the components of the associated conserved currents in a universal way. The first of these scalars, $X_1$, coincides with the composite field $(T\bar{T})$ built from the components of the energy-momentum tensor. The deformations of quantum field theories generated by $X_1$ are "solvable" in a certain sense, even if the original theory is not integrable. In a massive IQFT the deformations $X_s$ are identified with the deformations of the corresponding factorizable S-matrix via the CDD factor. The situation is illustrated by explicit construction of the form factors of the operators $X_s$ in sine-Gordon theory. We also make some remarks on the problem of UV completeness of such integrable deformations.

arXiv comment25 pages

References in corpus (22)

• $T\bar{T}$-deformed 2D Quantum Field Theories
• Solving the Simplest Theory of Quantum Gravity
• Unified Approach to Thermodynamic Bethe Ansatz and Finite Size Corrections for Lattice Models and Field Theories
• Non-integrable Quantum Field Theories as Perturbations of Certain Integrable Models
• Excited states by analytic continuation of TBA equations
• Integrable Quantum Field Theories in Finite Volume: Excited State Energies
• On the Operator Content of the Sinh-Gordon Model
• Evidence for a new particle on the worldsheet of the QCD flux tube
• Form factors of soliton-creating operators in the sine-Gordon model
• Massless Flows II: the exact S-matrix approach
• Expectation value of composite field $T\bar{T}$ in two-dimensional quantum field theory
• Hidden Grassmann structure in the XXZ model V: sine-Gordon model
• Hidden Grassmann Structure in the XXZ Model IV: CFT limit
• Bosonic-type S-Matrix, Vacuum Instability and CDD Ambiguities
• Ising field theory in a magnetic field: analytic properties of the free energy
• Fermionic structure in the sine-Gordon model: form factors and null-vectors
• Exact resonance A-D-E S-matrices and their renormalization group trajectories
• Generalising the staircase models
• Matrix elements of the operator T\bar{T} in integrable quantum field theory
• Isomorphism of critical and off-critical operator spaces in two-dimensional quantum field theory
• Reflection relations and fermionic basis
• RG Flows from Super-Liouville Theory to Critical Ising Model

Cited by in corpus (372)

• $T\bar{T}$-deformed 2D Quantum Field Theories
• Asymptotic Fragility, Near $Ad{S}_2$ Holography and $T\bar{T}$
• Cutoff AdS${}_3$ versus the $T\bar{T}$ deformation
• The $T\overline{T}$ deformation of quantum field theory as random geometry
• $T\bar{T}$ Partition Function from Topological Gravity
• Solvable Models of Quantum Black Holes: A Review on Jackiw-Teitelboim Gravity
• An integrable Lorentz-breaking deformation of two-dimensional CFTs
• Holography at finite cutoff with a $T^2$ deformation
• The $\text{T}\bar{\text{T}}$ perturbation and its geometric interpretation
• Modular invariance and uniqueness of $T\bar{T}$ deformed CFT
• A theory of reparameterizations for AdS${}_3$ gravity
• $T\bar{T}$-deformations in closed form
• Entanglement entropy and $T\overline{T}$ deformation
• $T\bar{T}$ and the mirage of a bulk cutoff
• Holography Beyond AdS
• $T\bar{T}$ deformed partition functions
• Generalised Born-Infeld models, Lax operators and the $\text{T}\bar{\text{T}}$ perturbation
• Strings on NS-NS Backgrounds as Integrable Deformations
• A pedagogical review on solvable irrelevant deformations of 2d quantum field theory
• Towards a 2d QFT Analog of the SYK Model
• A Solvable Irrelevant Deformation of $Ad{S}_3/CF{T}_2$
• $T\overline{T}$ in AdS${}_2$ and Quantum Mechanics
• Emergence of non-linear electrodynamic theories from $T\bar{T}$-like deformations
• Non-Equilibrium Dynamics and Weakly Broken Integrability
• Effective Field Theory for Chaotic CFTs
• $T\bar{T}$ and EE, with implications for (A)dS subregion encodings
• Entanglement Entropy in $T\overline{T}$-Deformed CFT
• Holographic Complexity Equals Which Action?
• $T\bar{T}$ Deformations, Massive Gravity and Non-Critical Strings
• Hamiltonian deformations in quantum mechanics, $T\bar{T}$, and SYK
• On $T\bar{T}$ deformations and supersymmetry
• The holographic interpretation of $J\bar{T}$-deformed CFTs
• Entanglement Beyond $\mathrm{AdS}$
• $J\bar{T}$ deformed $CF{T}_2$ and String Theory
• Supersymmetry and $T\overline{T}$ Deformations
• Strings on warped AdS${}_3$ via $T\bar{J}$ deformations
• de Sitter Microstates from $T\bar{T}+{\Lambda }_2$ and the Hawking-Page Transition
• $T\bar{T}$ deformed CFT as a non-critical string
• Correlation functions, entanglement and chaos in the $T\bar{T}$/$J\bar{T}$-deformed CFTs
• $T\bar{T}$-deformations, AdS/CFT and correlation functions
• Conserved currents and $\text{T}{\bar{\text{T}}}_s$ irrelevant deformations of 2D integrable field theories
• Root-$T\overline{T}$ Deformations in Two-Dimensional Quantum Field Theories
• Integrable Deformations of Sigma Models
• Comments on wormholes, ensembles, and cosmology
• Cauchy Slice Holography: A New AdS/CFT Dictionary
• TsT, $T\bar{T}$ and black strings
• Sphere partition functions and cut-off AdS
• Integrable spin chain for stringy Wess-Zumino-Witten models
• Holographic integration of $T\bar{T}$ and $J\bar{T}$ via $O(d,d)$
• The TT* deformation at large central charge
• Spinning Mellin Bootstrap: Conformal Partial Waves, Crossing Kernels and Applications
• Entanglement Entropy for $TT$ deformed CFT in general dimensions
• Mapping relativistic to ultra/non-relativistic conformal symmetries in 2D and finite $\sqrt{T\bar{T}}$ deformations
• Comments on $T\bar{T}$ double trace deformations and boundary conditions
• Entanglement and Rényi Entropy of Multiple Intervals in $T\overline{T}$-Deformed CFT and Holography
• Correlation functions of the CFTs on torus with $T\bar{T}$ deformation
• $T\bar{T}$ deformations with $\mathcal{N}=(0,2)$ supersymmetry
• On correlation functions in $J\bar{T}$-deformed CFTs
• $T\bar{T}$-Deformed Actions and (1,1) Supersymmetry
• $T\bar{T}$ Flows and (2,2) Supersymmetry
• Modular covariance and uniqueness of $J\bar{T}$ deformed CFTs
• Path Integral Optimization for $T\bar{T}$ Deformation
• Background independent holographic dual to $T\bar{T}$ deformed CFT with large central charge in 2 dimensions
• Conformal field theory complexity from Euler-Arnold equations
• Structure Constants in $\mathcal{N}=4$ SYM at Finite Coupling as Worldsheet $g$-Function
• $T\bar{T}$ deformations and integrable spin chains
• Conformal data and renormalization group flow in critical quantum spin chains using periodic uniform matrix product states
• Integrability and Renormalization under $T\bar{T}$
• $T\bar{T},J\bar{T}$, $T\bar{J}$ Partition Sums From String Theory
• $T\overline{T}$, $\tilde{J}J$, $JT$ and $\tilde{J}T$ deformations
• Complexity and Behind the Horizon Cut Off
• Quantum chaos, scrambling and operator growth in $T\bar{T}$ deformed SYK models
• Flow equations for generalised $T\bar{T}$ deformations
• Causal Structures and Nonlocality in Double Holography
• Wilson loop in a $T\bar{T}$ like deformed ${\mathrm{CFT}}_2$
• $T\bar{T}$ deformations as TsT transformations
• Non-Hermitian Hamiltonian Deformations in Quantum Mechanics
• Adding flavour to the S-matrix bootstrap
• $T\bar{T}$-like Flows in Non-linear Electrodynamic Theories and S-duality
• Undressing Confining Flux Tubes with $T\bar{T}$
• $T\bar{T}$-deformation and long range spin chains
• Form factors and generalized hydrodynamics for integrable systems
• The correlation function of (1,1) and (2,2) supersymmetric theories with $T\bar{T}$ deformation
• Integrable S matrix, mirror TBA and spectrum for the stringy ${\text{AdS}}_3\times {\text{S}}^3\times {\text{S}}^3\times {\text{S}}^1$ WZW model
• Duality-Invariant Non-linear Electrodynamics and Stress Tensor Flows
• Holographic Entanglement Entropy in Cutoff AdS
• KdV charges in $T\bar{T}$ theories and new models with super-Hagedorn behavior
• Gravitational path integral from the $T^2$ deformation
• Expectation value of $\mathrm{T}\overline{\mathrm{T}}$ operator in curved spacetimes
• $T\bar{T}$, the entanglement wedge cross section, and the breakdown of the split property
• Geometrizing $T\bar{T}$
• Aspects of Hyperscaling Violating Geometries at Finite Cutoff
• On the Classical Integrability of Root-$T\overline{T}$ Flows
• 3D Gravity in a Box
• Nonlinear automorphism of the conformal algebra in 2D and continuous $\sqrt{T\bar{T}}$ deformations
• Non-Linear Supersymmetry and $T\bar{T}$-like Flows
• Random Boundary Geometry and Gravity Dual of $T\bar{T}$ Deformation
• $T\bar{T}$ in JT Gravity and BF Gauge Theory
• Nonperturbative effects and resurgence in JT gravity at finite cutoff
• Interacting Chiral Form Field Theories and $T\overline{T}$-like Flows in Six and Higher Dimensions
• Infinite pseudo-conformal symmetries of classical $T\bar{T}$, $J\bar{T}$ and $J{T}_a$ - deformed CFTs
• Boundary conditions for General Relativity in three-dimensional spacetimes, integrable systems and the KdV/mKdV hierarchies
• Entanglement entropy and $T\bar{T}$ deformations beyond antipodal points from holography
• $T\bar{T}+{\Lambda }_2$ Deformed CFT on the Stretched dS${}_3$ Horizon
• Field Theory of Interacting Boundary Gravitons
• Finite-cutoff JT gravity and self-avoiding loops
• Non-relativistic duality and $T\bar{T}$ deformations
• 2D Ising Field Theory in a Magnetic Field: The Yang-Lee Singularity
• Surface/State correspondence and $T\overline{T}$ deformation
• $T\bar{T}$-deformed conformal field theories out of equilibrium
• Marginal $T\bar{T}$-Like Deformation and ModMax Theories in Two Dimensions
• A Non-Abelian Analogue of DBI from $T\overline{T}$
• A universe field theory for JT gravity
• Finite Cutoff AdS${}_5$ Holography and the Generalized Gradient Flow
• Marginal deformations of WZW models and the classical Yang-Baxter equation
• Cutoff $\mathrm{Ad}{\mathrm{S}}_3$ versus $\mathrm{T}\bar{\mathrm{T}}$ $\mathrm{CF}{\mathrm{T}}_2$ in the large central charge sector: correlators of energy-momentum tensor
• Yang--Mills Glueballs as Closed Bosonic Strings
• Heating up holography for single-trace $J\bar{T}$ deformations
• Integrable hard rod deformation of the Heisenberg spin chains
• Geometric formulation of generalized root-$T\bar{T}$ deformations
• Classical and Quantum Aspects of Yang-Baxter Wess-Zumino Models
• $T\bar{T}$ Deformation and the Complexity=Volume Conjecture
• $T\bar{T}$ type deformation in the presence of a boundary
• Gravity and $T\bar{T}$ flows in higher dimensions
• Geometric aspects of the ODE/IM correspondence
• S-matrix bootstrap for resonances
• Temporal Entanglement Entropy as a probe of Renormalization Group Flow
• Correlation Functions in $\text{T}\bar{\text{T}}$-deformed Conformal Field Theories
• Note on Rényi entropy of 2D perturbed free fermions
• Thermal transport in $T\bar{T}$-deformed conformal field theories: from integrability to holography
• A Simple Worldsheet Black Hole
• Sequential Flows by Irrelevant Operators
• Stress Tensor Flows, Birefringence in Non-Linear Electrodynamics, and Supersymmetry
• Conformal Boundary Conditions from Cutoff AdS${}_3$
• Weak integrability breaking and level spacing distribution
• Root-$T\overline{T}$ Deformed Boundary Conditions in Holography
• Massive gravity generalization of $T\overline{T}$ deformations
• Geometry and Complexity of Path Integrals in Inhomogeneous CFTs
• Large $N$ phase transition in $T\overline{T}$-deformed $2d$ Yang-Mills theory on the sphere
• Solving a family of $T\bar{T}$-like theories
• $\mathrm{T}\overline{\mathrm{T}}$-deformed 1d Bose gas
• Glue-on AdS holography for $T\bar{T}$-deformed CFTs
• Geometrizing non-relativistic bilinear deformations
• $T\bar{T}$ Deformation of Stress-Tensor Correlators from Random Geometry
• $T\bar{T}$ deformation of chiral bosons and Chern-Simons AdS${}_3$ gravity
• $T\bar{T}$-flow effects on torus partition functions
• TTbar deformation and the light-cone gauge
• Holographic torus correlators of stress tensor in $Ad{S}_3/CF{T}_2$
• Holography and Irrelevant Operators
• Spacetime as a quantum circuit
• Black hole to cosmic horizon microstates in string/M theory: timelike boundaries and internal averaging
• Supersymmetric $J\bar{T}$ and $T\bar{J}$ deformations
• Matrix Theory Reloaded: A BPS Road to Holography
• Fix the dual geometries of $T\bar{T}$ deformed CFT${}_2$ and highly excited states of CFT${}_2$
• TsT, black holes, and $T\bar{T}+J\bar{T}+T\bar{J}$
• Quantum corrections to finite radius holography and holographic entanglement entropy
• Chaos of QCD string from holography
• $T\overline{T}$ deformations of non-Lorentz invariant field theories
• The 2D Volkov-Akulov model as a $T\bar{T}$ deformation
• $T\bar{T}$ flow as characteristic flows
• More on Complexity in Finite Cut Off Geometry
• Infinite Family of Integrable Sigma Models Using Auxiliary Fields
• Building Tensor Networks for Holographic States
• Very Special $T\bar{J}$ deformed CFT
• Gluing AdS/CFT
• Thermodynamic Bethe Ansatz past turning points: the (elliptic) sinh-Gordon model
• The Space of Integrable Systems from Generalised $T\bar{T}$-Deformations
• S-duality in $T\bar{T}$-deformed CFT
• $T\overline{T}$ Deformations of Supersymmetric Quantum Mechanics
• The gravitational dynamics of kinematic space
• Confining Strings, Infinite Statistics and Integrability
• $T\overline{T}$ deformation in SCFTs and integrable supersymmetric theories
• A $T\bar{T}$ Deformation for Curved Spacetimes from 3d Gravity
• Aspects of Holographic Entanglement Entropy for $T\bar{T}$-deformed CFTs
• $T\bar{T}$-deformation and Liouville gravity
• Homogeneous Yang-Baxter deformations as undeformed yet twisted models
• Strings, Symmetric Products, $T\bar{T}$ deformations and Hecke Operators
• Topological Gauging and Double Current Deformations
• Holographic entanglement entropy in $T\overline{T}$-deformed AdS${}_3$
• Exact $T\bar{T}$-deformation of two-dimensional Yang-Mills theory on the sphere
• Extremal surfaces in glue-on AdS/$T\bar{T}$ holography
• Maximally Supersymmetric RG Flows in 4D and Integrability
• Note on the nonrelativistic $T\bar{T}$ deformation
• Lifshitz Scaling, Microstate Counting from Number Theory and Black Hole Entropy
• Infinite $\mathrm{T}\bar{\mathrm{T}}$-like symmetries of compactified LST
• Holographic study of $T\bar{T}$ like deformed HV QFTs: holographic entanglement entropy
• $T\bar{T}$, $J\bar{T}$, $T\bar{J}$ and String Theory
• Horizon symmetries and hairy black holes in AdS
• Entropic c-functions in $T\bar{T},J\bar{T},T\bar{J}$ deformations
• $T\overline{T}$-Like Flows and $3d$ Nonlinear Supersymmetry
• $T\bar{T}$ deformation of the Ising model and its ultraviolet completion
• ModMax Oscillators and Root-$T\overline{T}$-Like Flows in Supersymmetric Quantum Mechanics
• A Path Integral Realization of Joint $J\bar{T}$, $T\bar{J}$ and $T\bar{T}$ Flows
• $T\bar{T}$ deformed YM${}_2$ on general backgrounds from an integral transformation
• Classical Integrability of the Zigzag Model
• End of the World Brane meets $T\bar{T}$
• $T\overline{T}$-deformed modular forms
• Sampling the lattice Nambu-Goto string using Continuous Normalizing Flows
• A definition of primary operators in $J\bar{T}$-deformed CFTs
• A general definition of $J{T}_a$ -- deformed QFTs
• $T\bar{T}$ and $J\bar{T}$ Deformations in Quantum Mechanics
• Entanglement negativity in $\text{T}\bar{\text{T}}$-deformed CFT${}_2$s
• Lax Connections in $T\bar{T}$-deformed Integrable Field Theories
• Emergent gravity from hidden sectors and TT deformations
• Thermodynamics of $T\bar{T}$, $J\bar{T}$, $T\bar{J}$ deformed conformal field theories
• Freelance Holography, Part I: Setting Boundary Conditions Free in Gauge/Gravity Correspondence
• Krylov complexity of deformed conformal field theories
• Flows in the Space of Interacting Chiral Boson Theories
• On the universal behavior of $T\bar{T}$-deformed CFTs: single and double-trace partition functions at large $c$
• On the classification of UV completions of integrable $T\bar{T}$ deformations of CFT
• $T\bar{T}$ deformation on multiquantum mechanics and regenesis
• $T\overline{T}$ Deformations of nonrelativistic models
• $T\bar{T}/J\bar{T}$-deformed WZW models from Chern-Simons AdS${}_3$ gravity with mixed boundary conditions
• Entanglement Entropy for $T\bar{T}$, $J\bar{T}$, $T\bar{J}$ deformed holographic CFT
• $T\overline{T}$-deformation of $q$-Yang-Mills theory
• KdV Charges and the Generalized Torus Partition Sum in $T\bar{T}$ deformation
• Comments on holographic entanglements in cutoff AdS
• $T\bar{T}$ deformation of random matrices
• Deforming the ODE/IM correspondence with $\mathrm{T}\bar{\mathrm{T}}$
• An integrable spin chain with Hilbert space fragmentation and solvable real time dynamics
• Exact $T\overline{T}$ deformation of two-dimensional Maxwell theory
• Integrability and duality in spin chains
• Surface charges in Chern-Simons gravity with $T\bar{T}$ deformation
• Universal flow equations and chaos bound saturation in 2d dilaton gravity
• Large N Analysis of $T\bar{T}$-deformation and Unavoidable Negative-norm States
• Holographic Dual of Conformal Field Theories with Very Special $T\bar{J}$ Deformations
• Traversable AdS Wormhole via Non-local Double Trace or Janus Deformation
• States, symmetries and correlators of $T\bar{T}$ and $J\bar{T}$ symmetric orbifolds
• Marginal quenches and drives in Tomonaga-Luttinger liquids
• $T\bar{T}+{\Lambda }_2$ from a 2d gravity path integral
• Remarks on the thermodynamic stability of TT-bar deformations
• Comments on $T\bar{T}$, $J\bar{T}$ and String Theory
• $T\bar{T}$-deformed Fermionic Theories Revisited
• Irrelevant Deformations with Boundaries and Defects
• New classical integrable systems from generalized $T\bar{T}$-deformations
• Numerical determination of the width and shape of the effective string using Stochastic Normalizing Flows
• Holographic Complexity of LST and Single Trace $T\bar{T}$
• Perturbative renormalization of the $T\bar{T}$-deformed free massive Dirac fermion
• Correlations of mixed systems in confining backgrounds
• Emergent Gravity in a Holographic Universe
• On the $T\bar{T}$ deformation of the compactified boson and its interpretation in Lattice Gauge Theory
• Exotic RG Flow of Entanglement Entropy
• Universal scaling of Klein bottle entropy near conformal critical points
• $T\bar{T}$ deformation of classical Liouville field theory
• Irrelevant Deformations of Chiral Bosons
• Time Evolution of Entanglement Entropy in Holographic FLRW Cosmologies
• Confining strings in three-dimensional gauge theories beyond the Nambu--Gotō approximation
• Freelance Holography, Part II: Moving Boundary in Gauge/Gravity Correspondence
• Complexity via Replica Trick
• Renormalisation in $\text{T}\bar{\text{T}}$-Deformed (Non-)Integrable Theories
• $T\bar{T}$ deformed soft theorem
• Entanglement Entropy and Modular Hamiltonian of free fermion with deformations on a torus
• Time-dependent quantum correlations in two-dimensional expanding spacetime
• Odd entanglement entropy in $\text{T}\bar{\text{T}}$ deformed CFT${}_2$s and holography
• $T\bar{T}$-deformed 2D Yang-Mills at large N: collective field theory and phase transitions
• The fate of non-supersymmetric Gross-Neveu-Yukawa fixed point in two dimensions
• One-loop partition functions in $T\overline{T}$-deformed AdS${}_3$
• Holographic $T\bar{T}$ deformation of the entanglement entropy in (A)dS${}_3$/CFT${}_2$
• 4D Chern-Simons theory with auxiliary fields
• $T\overline{T}$ deformations and the width of fundamental particles
• Symmetries versus the spectrum of $J\bar{T}$-deformed CFTs
• $T\overline{T}$-deformed free energy of the Airy model
• The complex sinh-Gordon model: form factors of descendant operators and current-current perturbations
• $J\bar{T}$-deformed CFTs as non-local CFTs
• Current-current deformations, conformal integrals and correlation functions
• Supersymmetric black holes and $T\bar{T}$ deformation
• Renyi divergences from Euclidean quenches
• Holographic entanglement entropy and mutual information in deformed field theories at finite temperature
• Irrelevant and marginal deformed BMS field theories
• $T\bar{T}$ and root-$T\bar{T}$ deformations in four-dimensional Chern-Simons theory
• Emergence and Correspondence for String Theory Black Holes
• Thermodynamics of $T\bar{T}$ perturbations of some single particle field theories
• Aspects of $T\bar{T}+J\bar{T}$ deformed Schwarzian: From gravity partition function to late-time spectral form factor
• Nonlinear $\mathcal{N}=2$ Supersymmetry and 3D Supersymmetric Born-Infeld Theory
• Krylov operator complexity in holographic CFTs: Smeared boundary reconstruction and the dual proper radial momentum
• Holographic Complexity of LST and Single Trace $T\bar{T}$, $J\bar{T}$ and $T\bar{J}$ deformations
• Non-equilibrium dynamics in Holography
• Quantization of the Zigzag Model
• Holographic Entanglement Entropy in $T\bar{T}$-deformed CFTs
• Weighed average over Narain moduli space as $T\bar{T}$ deformation of CFT target space
• Asymptotic Symmetries in the TsT/$T\bar{T}$ Correspondence
• Deriving the non-perturbative gravitational dual of quantum Liouville theory from BCFT operator algebra
• Gravitational perturbations as $T\bar{T}$-deformations in 2D dilaton gravity systems
• JT gravity at finite cutoff
• Chiral Decoupling from Irrelevant Deformations
• Mixed state entanglement in deformed field theory at finite temperature
• Bridging Boundaries: $T\bar{T}$, Double Holography, and Reflected Entropy
• Warped Flatland
• Correlation Functions in $\text{T}\bar{\text{T}}$-deformed Theories on the Torus
• Composite operators in $T\bar{T}$-deformed free QFTs
• Momentum-space entanglement in scalar field theory on fuzzy spheres
• Integrable Lorentz-breaking deformations and RG flows
• $T\bar{T}$ Deformations in Curved Space from 4D Chern-Simons Theory
• Solvable time-like cosets and holography beyond $AdS$
• Corner Transfer Matrix Approach to the Yang-Lee Singularity in the 2D Ising Model in a magnetic field
• Systematic approach to correlators in $T\bar{T}$ deformed CFTs
• $T\bar{T}$ deformation of correlation functions
• Demystifying integrable QFTs in AdS: No-go theorems for higher-spin charges
• Bulk Spacetime Encoding via Boundary Ambiguities
• The Algebraic Structure Underlying Pole-Skipping Points
• Critical Ising Model with Boundary Magnetic Field: RG Interface and Effective Hamiltonians
• The Courant-Hilbert construction in 4D Chern-Simons theory
• Holographic boundary conformal field theory with $T\bar{T}$ deformation
• The phase diagram of $T\bar{T}$-deformed Yang-Mills theory on the sphere
• $\frac{SL(2,\mathbb{R})\times U(1)}{U(1)}$ CFT, NS5$+$F1 system and single trace $T\bar{T}$
• Analytic integrability for holographic duals with $J\bar{T}$ deformations
• On the symmetry of $T\bar{T}$ deformed CFT
• Note on higher-point correlation functions of the $T\bar{T}$ or $J\bar{T}$ deformed CFTs
• Geometric realization via irrelevant deformations induced by the stress-energy tensor
• From conformal correlators to analytic S-matrices: CFT${}_1$/QFT${}_2$
• Deterministic Chaos vs Integrable Models
• Duality defect in a deformed transverse-field Ising model
• On asymptotic behaviour in truncated conformal space approach
• On some (integrable) structures in low-dimensional holography
• Characters of irrelevant deformations
• Mingling of the infrared and ultraviolet and the "cosmological constant" for interacting QFT in 2d
• Asymptotically Free AdS3/CFT2
• Soliton, breather and shockwave solutions of the Heisenberg and the $T\bar{T}$ deformations of scalar field theories in 1+1 dimensions
• Root-$T\overline{T}$ deformed CFT partition functions at large central charge
• Lifshitz tails at spectral edge and holography with a finite cutoff
• Complexity as a holographic probe of strong cosmic censorship
• Canonical maps and integrability in $T\bar{T}$ deformed 2d CFTs
• Toward a Unified de Sitter Holography: A Composite $T\bar{T}$ and $T\bar{T}+{\Lambda }_2$ Flow
• Defining the $T\overline{T}$ Deformation on ${\mathrm{AdS}}_2$
• String Duals of Two-Dimensional Yang-Mills and Symmetric Product Orbifolds
• Locality and Conserved Charges in $T\overline{T}$-Deformed CFTs
• Nonperturbative aspects of two-dimensional $T\bar{T}$-deformed scalar theory from functional renormalization group
• Boundary Quantum Field Theories Perturbed by $\mathrm{T}\bar{\mathrm{T}}$: Towards a Form Factor Program
• Moving holographic boundaries
• RG Flows in 2d Chiral Gauge Theories
• On Factorizable S-matrices, Generalized TTbar, and the Hagedorn Transition
• Geometric realization of stress-tensor deformed field theory
• On SYK traversable wormhole with imperfectly correlated disorders
• Comments on single trace $T\bar{T}$ and other current-current deformations
• $T\bar{T}$ deformed scattering happens within matrices
• $T\bar{T}$ deformations and the pp wave correspondence
• A substrate for brane shells from $T\bar{T}$
• Comments on the negative specific heat of the $T\bar{T}$ deformed symmetric product CFT
• Phase Transition in JT Gravity and $T\bar{T}$ Deformation
• Entanglement Renormalization of a $T\bar{T}$-deformed CFT
• $T\bar{T}$ deformation on non-Hermitian two coupled SYK model
• Exploring uberholography
• On exactly solvable Yang-Baxter models and enhanced symmetries
• Chiral boundary conditions for singletons and W-branes
• Ising model in a boundary magnetic field with random discontinuities
• Universal thermalization dynamics in (1+1)d QFTs
• Constraining all possible Korteweg-de Vries type hierarchies
• A $T\bar{T}$-like deformation of the Skyrme model and the Heisenberg model of nucleon-nucleon scattering
• On correlation functions in models related to the Temperley-Lieb algebra
• Nonlocal charges from marginal deformations of 2D CFTs: Holographic $T\bar{T}$, $T\bar{J}$ and Yang-Baxter deformations
• Penrose limit for holographic duals of $J\bar{T}$ deformations
• $T\bar{T}$, Black Holes and Negative Strings
• Entanglement, defects, and $T\bar{T}$ on a black hole background
• Black hole as a multipartite entangler: multi-entropy in AdS${}_3$/CFT${}_2$
• Field-Dependent Metrics and Higher-Form Symmetries in Duality-Invariant Theories of Non-Linear Electrodynamics
• On String theory on deformed BTZ and $T\bar{T}+J\bar{T}+T\bar{J}$
• On $\sqrt{T\overline{T}}$ deformed pathways: CFT to CCFT
• Holographic AME states in black hole interiors
• Burgers Equation vs. Large $N$ Limit in $T\bar{T}$-deformed $O(N)$ Vector Model
• Metric approach to a $\mathrm{T}\bar{\mathrm{T}}-$like deformation in arbitrary dimensions
• Lecture notes on strings in AdS${}_3$ from the worldsheet and the AdS${}_3$/CFT${}_2$ duality
• Complete Minimal Form Factors for Irrelevant Deformations of Integrable Quantum Field Theory
• York time in JT gravity
• Exact summation of leading logs around $T\bar{T}$ deformation of $O(N+1)$-symmetric 2D QFTs
• Radial canonical $\Lambda <0$ gravity
• Scattering matrix for current-current deformations of the (2,2s+1) RSOS models
• Cost of holographic path integrals
• On correlators in $T\bar{T}$-deformed conformal field theories
• The on-shell action of supergravity & the B-side of TsT and single-trace $T\bar{T}$
• $\text{T}\bar{\text{T}}$-deformed Nonlinear Schrödinger
• Krylov Complexity Under Hamiltonian Deformations and Toda Flows
• On Current-Squared Flows and ModMax Theories