Wilson loop in a $T\bar{T}$ like deformed $\rm{CFT}_2$

TL;DR

This paper investigates the holographic Wilson loop in a string theory background that interpolates between $AdS_3$ and a linear dilaton spacetime, providing insights into the non-local structure of the UV-deformed $ m{CFT}_2$ and phase transitions.

Contribution

It analyzes the holographic Wilson loop in a $ m{CFT}_2$ deformed by a dimension (2,2) operator, revealing non-local features and phase transition behaviors.

Findings

Supports the non-local structure of the UV theory (LST)

Identifies quantum phase transitions in the boundary theory

Examines thermal phase transitions in the model

Abstract

In this paper we study string theory in the background $\mathcal{M}_3$ that interpolates between $AdS_3$ in the IR and linear dilaton spacetime $\mathbb{R}^{1,1}\times\mathbb{R}_\phi$ in the UV. Via holographic duality this background corresponds to $\rm{CFT}_2$ deformed by a dimension $(2,2)$ operator. Here we discuss the holographic Wilson loop in such a model and shed more light in support of the non-local structure of the theory (Little String Theory (LST)) in the UV. We also discuss quantum and thermal phase transitions of the boundary theory.