Holographic Dual of Conformal Field Theories with Very Special $T\bar{J}$ Deformations

Abstract

Very special $T\bar{J}$ deformations of a conformal field theory are irrelevant deformations that break the Lorentz symmetry but preserve the twisted Lorentz symmetry. We construct a holographic description of very special $T\bar{J}$ deformations. We give a holographic recipe to study the double trace as well as single trace deformations. The former is obtained from the change of the boundary condition while the latter is obtained from the change of the supergravity background.

16 pages

References in corpus (12)

• Quantum Gravity at a Lifshitz Point
• On space of integrable quantum field theories
• $T\bar{T}$-deformed 2D Quantum Field Theories
• Very Special Relativity
• A Solvable Irrelevant Deformation of $Ad{S}_3/CF{T}_2$
• On correlation functions in $J\bar{T}$-deformed CFTs
• Note on Rényi entropy of 2D perturbed free fermions
• Solving a family of $T\bar{T}$-like theories
• $T\bar{T}$, $J\bar{T}$, $T\bar{J}$ and String Theory
• Structure Constants from Modularity in Warped CFT
• Comments on $T\bar{T}$, $J\bar{T}$ and String Theory
• Integrable Lorentz-breaking deformations and RG flows

Cited by in corpus (8)

• A pedagogical review on solvable irrelevant deformations of 2d quantum field theory
• Correlation functions, entanglement and chaos in the $T\bar{T}$/$J\bar{T}$-deformed CFTs
• Entanglement and Rényi Entropy of Multiple Intervals in $T\overline{T}$-Deformed CFT and Holography
• KdV charges in $T\bar{T}$ theories and new models with super-Hagedorn behavior
• Heating up holography for single-trace $J\bar{T}$ deformations
• $T\bar{T}/J\bar{T}$-deformed WZW models from Chern-Simons AdS${}_3$ gravity with mixed boundary conditions
• $T\bar{T}$ deformation of classical Liouville field theory
• Note on higher-point correlation functions of the $T\bar{T}$ or $J\bar{T}$ deformed CFTs