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

## TL;DR

This paper develops a holographic framework for very special $Tar{J}$ deformations of conformal field theories, which break Lorentz symmetry but preserve twisted Lorentz symmetry, providing new tools for their analysis.

## Contribution

It introduces a holographic description of very special $Tar{J}$ deformations, including methods to analyze both double trace and single trace deformations.

## Key findings

- Holographic recipe for double trace deformations via boundary condition changes
- Holographic recipe for single trace deformations via background modifications
- Framework preserves twisted Lorentz symmetry despite breaking Lorentz invariance

## 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.