$T\bar{T}$ deformed partition functions

Abstract

We demonstrate the presence of modular properties in partition functions of $T\bar{T}$ deformed conformal field theories. These properties are verified explicitly for the deformed free boson. The modular features facilitate a derivation of the asymptotic density of states in these theories, which turns out to interpolate between Cardy and Hagedorn behaviours. We also point out a sub-sector of the spectrum that remains undeformed under the $T\bar{T}$ flow. Finally, we comment on the deformation of the CFT vacuum character and its implications for the holographic dual.

Published version

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Cited by in corpus (105)

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• Generalised Born-Infeld models, Lax operators and the $\text{T}\bar{\text{T}}$ perturbation
• A pedagogical review on solvable irrelevant deformations of 2d quantum field theory
• Entanglement Entropy in $T\overline{T}$-Deformed CFT
• $J\bar{T}$ deformed $CF{T}_2$ and String Theory
• de Sitter Microstates from $T\bar{T}+{\Lambda }_2$ and the Hawking-Page Transition
• Correlation functions, entanglement and chaos in the $T\bar{T}$/$J\bar{T}$-deformed CFTs
• TsT, $T\bar{T}$ and black strings
• Sphere partition functions and cut-off AdS
• Holographic integration of $T\bar{T}$ and $J\bar{T}$ via $O(d,d)$
• Entanglement Entropy for $TT$ deformed CFT in general dimensions
• 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
• On correlation functions in $J\bar{T}$-deformed CFTs
• $T\bar{T}$ Flows and (2,2) Supersymmetry
• Modular covariance and uniqueness of $J\bar{T}$ deformed CFTs
• Integrability and Renormalization under $T\bar{T}$
• $T\bar{T},J\bar{T}$, $T\bar{J}$ Partition Sums From String Theory
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• The correlation function of (1,1) and (2,2) supersymmetric theories with $T\bar{T}$ deformation
• $T\bar{T}$-like Flows in Non-linear Electrodynamic Theories and S-duality
• $T\bar{T}$-deformation and long range spin chains
• Duality-Invariant Non-linear Electrodynamics and Stress Tensor Flows
• Expectation value of $\mathrm{T}\overline{\mathrm{T}}$ operator in curved spacetimes
• KdV charges in $T\bar{T}$ theories and new models with super-Hagedorn behavior
• Gravitational path integral from the $T^2$ deformation
• $T\bar{T}$, the entanglement wedge cross section, and the breakdown of the split property
• On the Classical Integrability of Root-$T\overline{T}$ Flows
• 3D Gravity in a Box
• $T\bar{T}$ in JT Gravity and BF Gauge Theory
• Boundary conditions for General Relativity in three-dimensional spacetimes, integrable systems and the KdV/mKdV hierarchies
• Interacting Chiral Form Field Theories and $T\overline{T}$-like Flows in Six and Higher Dimensions
• Entanglement entropy and $T\bar{T}$ deformations beyond antipodal points from holography
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• 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
• Geometric formulation of generalized root-$T\bar{T}$ deformations
• Note on Rényi entropy of 2D perturbed free fermions
• Sequential Flows by Irrelevant Operators
• Large $N$ phase transition in $T\overline{T}$-deformed $2d$ Yang-Mills theory on the sphere
• $\mathrm{T}\overline{\mathrm{T}}$-deformed 1d Bose gas
• Conformal Boundary Conditions from Cutoff AdS${}_3$
• Stress Tensor Flows, Birefringence in Non-Linear Electrodynamics, and Supersymmetry
• Glue-on AdS holography for $T\bar{T}$-deformed CFTs
• Root-$T\overline{T}$ Deformed Boundary Conditions in Holography
• $T\bar{T}$ deformation of chiral bosons and Chern-Simons AdS${}_3$ gravity
• Geometrizing non-relativistic bilinear deformations
• Holographic torus correlators of stress tensor in $Ad{S}_3/CF{T}_2$
• $T\bar{T}$-flow effects on torus partition functions
• TsT, black holes, and $T\bar{T}+J\bar{T}+T\bar{J}$
• $T\overline{T}$ deformations of non-Lorentz invariant field theories
• Quantum corrections to finite radius holography and holographic entanglement entropy
• Building Tensor Networks for Holographic States
• Very Special $T\bar{J}$ deformed CFT
• $T\overline{T}$ deformation in SCFTs and integrable supersymmetric theories
• S-duality in $T\bar{T}$-deformed CFT
• $T\overline{T}$ Deformations of Supersymmetric Quantum Mechanics
• Quantization of the ModMax Oscillator
• Lifshitz Scaling, Microstate Counting from Number Theory and Black Hole Entropy
• Note on the nonrelativistic $T\bar{T}$ deformation
• Extremal surfaces in glue-on AdS/$T\bar{T}$ holography
• Fine corrections in the effective string describing SU(2) Yang-Mills theory in three dimensions
• A general definition of $J{T}_a$ -- deformed QFTs
• $T\bar{T}/J\bar{T}$-deformed WZW models from Chern-Simons AdS${}_3$ gravity with mixed boundary conditions
• On the universal behavior of $T\bar{T}$-deformed CFTs: single and double-trace partition functions at large $c$
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• Thermodynamics of $T\bar{T}$, $J\bar{T}$, $T\bar{J}$ deformed conformal field theories
• $T\overline{T}$-deformation of $q$-Yang-Mills theory
• Flows in the Space of Interacting Chiral Boson Theories
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• $T\bar{T}$ deformation of random matrices
• Comments on $T\bar{T}$, $J\bar{T}$ and String Theory
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• $T\bar{T}$-deformed Fermionic Theories Revisited
• Holographic Dual of Conformal Field Theories with Very Special $T\bar{J}$ Deformations
• Perturbative renormalization of the $T\bar{T}$-deformed free massive Dirac fermion
• On the $T\bar{T}$ deformation of the compactified boson and its interpretation in Lattice Gauge Theory
• Confining strings in three-dimensional gauge theories beyond the Nambu--Gotō approximation
• Freelance Holography, Part II: Moving Boundary in Gauge/Gravity Correspondence
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• Renyi divergences from Euclidean quenches
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• Chiral Decoupling from Irrelevant Deformations
• The phase diagram of $T\bar{T}$-deformed Yang-Mills theory on the sphere
• Systematic approach to correlators in $T\bar{T}$ deformed CFTs
• Composite operators in $T\bar{T}$-deformed free QFTs
• Holographic boundary conformal field theory with $T\bar{T}$ deformation
• Asymptotic degeneracies of M2-brane SCFTs
• $T\bar{T}$ deformation of correlation functions
• 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
• Characters of irrelevant deformations
• Geometric realization via irrelevant deformations induced by the stress-energy tensor
• Root-$T\overline{T}$ deformed CFT partition functions at large central charge
• Soliton, breather and shockwave solutions of the Heisenberg and the $T\bar{T}$ deformations of scalar field theories in 1+1 dimensions
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• A $T\bar{T}$-like deformation of the Skyrme model and the Heisenberg model of nucleon-nucleon scattering
• The on-shell action of supergravity & the B-side of TsT and single-trace $T\bar{T}$
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