The TT* deformation at large central charge

Abstract

We study Zamolodchikov's TT* deformation of two dimensional quantum field theories in a 't Hooft-like limit, in which we scale the number of degrees of freedom c to infinity and the deformation parameter t to zero, keeping their product t*c fixed (more precisely, we keep energies and distances fixed in units of t*c). In this limit the Hagedorn temperature remains fixed, but other non-local aspects of the theory disappear. We show that in this limit correlation functions may be computed exactly, and they are local in space and polynomials in t. We compute explicitly the deformed three-point functions of the energy-momentum tensor for a TT*-deformed conformal field theory.

arXiv comment11 pages

References in corpus (13)

• Implications of Conformal Invariance in Field Theories for General Dimensions
• On space of integrable quantum field theories
• $T\bar{T}$-deformed 2D Quantum Field Theories
• Setting the boundary free in AdS/CFT
• Asymptotic Fragility, Near $Ad{S}_2$ Holography and $T\bar{T}$
• "Double-trace" Deformations, Boundary Conditions and Spacetime Singularities
• Boundary Conditions and Dualities: Vector Fields in AdS/CFT
• Multiple-Trace Operators and Non-Local String Theories
• A Solvable Irrelevant Deformation of $Ad{S}_3/CF{T}_2$
• $T\bar{T}$-deformations, AdS/CFT and correlation functions
• A hydrodynamic approach to non-equilibrium conformal field theories
• Background independent holographic dual to $T\bar{T}$ deformed CFT with large central charge in 2 dimensions
• Bosonic-type S-Matrix, Vacuum Instability and CDD Ambiguities

Cited by in corpus (31)

• $T\bar{T}$ and the mirage of a bulk cutoff
• $T\bar{T}$ deformed partition functions
• A pedagogical review on solvable irrelevant deformations of 2d quantum field theory
• Entanglement Entropy in $T\overline{T}$-Deformed CFT
• Correlation functions, entanglement and chaos in the $T\bar{T}$/$J\bar{T}$-deformed CFTs
• Entanglement Entropy for $TT$ deformed CFT in general dimensions
• Entanglement and Rényi Entropy of Multiple Intervals in $T\overline{T}$-Deformed CFT and Holography
• Comments on $T\bar{T}$ double trace deformations and boundary conditions
• On correlation functions in $J\bar{T}$-deformed CFTs
• Integrability and Renormalization under $T\bar{T}$
• Wilson loop in a $T\bar{T}$ like deformed ${\mathrm{CFT}}_2$
• The correlation function of (1,1) and (2,2) supersymmetric theories with $T\bar{T}$ deformation
• KdV charges in $T\bar{T}$ theories and new models with super-Hagedorn behavior
• Expectation value of $\mathrm{T}\overline{\mathrm{T}}$ operator in curved spacetimes
• Aspects of Hyperscaling Violating Geometries at Finite Cutoff
• 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
• Infinite pseudo-conformal symmetries of classical $T\bar{T}$, $J\bar{T}$ and $J{T}_a$ - deformed CFTs
• Field Theory of Interacting Boundary Gravitons
• 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
• $T\bar{T}$ type deformation in the presence of a boundary
• Thermal transport in $T\bar{T}$-deformed conformal field theories: from integrability to holography
• Geometrizing non-relativistic bilinear deformations
• Holographic torus correlators of stress tensor in $Ad{S}_3/CF{T}_2$
• More on Complexity in Finite Cut Off Geometry
• A definition of primary operators in $J\bar{T}$-deformed CFTs
• On the $T\bar{T}$ deformation of the compactified boson and its interpretation in Lattice Gauge Theory
• Holographic entanglement entropy and mutual information in deformed field theories at finite temperature
• On the symmetry of $T\bar{T}$ deformed CFT
• Complete Minimal Form Factors for Irrelevant Deformations of Integrable Quantum Field Theory