$T\overline{T}$ in AdS${}_2$ and Quantum Mechanics

Abstract

Quantum field theory in zero spatial dimensions has a rich infrared landscape and a universal ultraviolet, inverting the usual Wilsonian paradigm. For holographic theories this implies a rich landscape of asymptotically AdS${}_2$ geometries. Isolating the interiors of these spacetimes suggests a study of the analog of the $T\overline{T}$ deformation in quantum mechanics, which we pursue here. An equivalent description of this deformation in terms of coupling to worldline gravity is proposed, and applications to quantum mechanical systems - including the Schwarzian theory - are studied.

35 pages plus appendices

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Cited by in corpus (70)

• Solvable Models of Quantum Black Holes: A Review on Jackiw-Teitelboim Gravity
• A pedagogical review on solvable irrelevant deformations of 2d quantum field theory
• $T\bar{T}$ and EE, with implications for (A)dS subregion encodings
• Hamiltonian deformations in quantum mechanics, $T\bar{T}$, and SYK
• Global symmetry, Euclidean gravity, and the black hole information problem
• $T\bar{T}$ deformed CFT as a non-critical string
• Correlation functions, entanglement and chaos in the $T\bar{T}$/$J\bar{T}$-deformed CFTs
• Flat space holography and complex SYK
• Explorations of Non-Perturbative JT Gravity and Supergravity
• Classifying boundary conditions in JT gravity: from energy-branes to $\alpha$-branes
• Integrability and Renormalization under $T\bar{T}$
• $T\bar{T}$ deformations and integrable spin chains
• The correlation function of (1,1) and (2,2) supersymmetric theories with $T\bar{T}$ deformation
• Gravitational path integral from the $T^2$ deformation
• Aspects of Hyperscaling Violating Geometries at Finite Cutoff
• Constructing AdS_2 flow geometries
• On the Classical Integrability of Root-$T\overline{T}$ Flows
• Geometric Operator Quantum Speed Limit, Wegner Hamiltonian Flow and Operator Growth
• Nonperturbative effects and resurgence in JT gravity at finite cutoff
• $T\bar{T}$ in JT Gravity and BF Gauge Theory
• Jackiw-Teitelboim Gravity in the Second Order Formalism
• Field Theory of Interacting Boundary Gravitons
• Finite-cutoff JT gravity and self-avoiding loops
• $T\bar{T}+{\Lambda }_2$ Deformed CFT on the Stretched dS${}_3$ Horizon
• A Non-Abelian Analogue of DBI from $T\overline{T}$
• Marginal $T\bar{T}$-Like Deformation and ModMax Theories in Two Dimensions
• 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
• Sequential Flows by Irrelevant Operators
• $\mathrm{T}\overline{\mathrm{T}}$-deformed 1d Bose gas
• $T\bar{T}$ deformation of chiral bosons and Chern-Simons AdS${}_3$ gravity
• $T\bar{T}$-flow effects on torus partition functions
• Spacetime as a quantum circuit
• Unitarity breaking in self-averaging spectral form factors
• On 2D gauge theories in Jackiw-Teitelboim gravity
• Quantization of the ModMax Oscillator
• ModMax Oscillators and Root-$T\overline{T}$-Like Flows in Supersymmetric Quantum Mechanics
• $T\bar{T}$ and $J\bar{T}$ Deformations in Quantum Mechanics
• Flat space gravity at finite cutoff
• $T\bar{T}$ deformed YM${}_2$ on general backgrounds from an integral transformation
• JT gravity and the asymptotic Weil-Petersson volume
• Flows in the Space of Interacting Chiral Boson Theories
• $T\bar{T}$ deformation on multiquantum mechanics and regenesis
• $T\bar{T}$ deformation of random matrices
• Universal flow equations and chaos bound saturation in 2d dilaton gravity
• Remarks on the thermodynamic stability of TT-bar deformations
• One-dimensional Quantum Gravity and the Schwarzian theory
• Deformations of JT Gravity via Topological Gravity and Applications
• Entanglement Entropy in Jackiw-Teitelboim Gravity
• Models of phase stability in Jackiw-Teitelboim gravity
• 2D holography beyond the Jackiw-Teitelboim model
• $T\bar{T}$-deformed 2D Yang-Mills at large N: collective field theory and phase transitions
• Aspects of $T\bar{T}+J\bar{T}$ deformed Schwarzian: From gravity partition function to late-time spectral form factor
• Global Symmetry and Maximal Chaos
• Supersymmetric black holes and $T\bar{T}$ deformation
• JT gravity at finite cutoff
• Non-equilibrium dynamics in Holography
• $T\bar{T}$ Deformations in Curved Space from 4D Chern-Simons Theory
• (Half) Wormholes under Irrelevant Deformation
• Deterministic Chaos vs Integrable Models
• $T\bar{T}$ deformation on non-Hermitian two coupled SYK model
• Boundary Quantum Field Theories Perturbed by $\mathrm{T}\bar{\mathrm{T}}$: Towards a Form Factor Program
• $T\bar{T}$ deformations and the pp wave correspondence
• On correlators in $T\bar{T}$-deformed conformal field theories
• The Phases of Chaos
• Cost of holographic path integrals
• On Current-Squared Flows and ModMax Theories
• $T\bar{T}$ deformation of Calogero-Sutherland model via dimensional reduction
• Deformed Quantum Mechanics and the Landau Problem
• Krylov Complexity Under Hamiltonian Deformations and Toda Flows