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

Abstract

In this paper we study string theory in the background ${\mathcal{M}}_3$ that interpolates between $Ad{S}_3$ in the IR and linear dilaton spacetime ${\mathbb{R}}^{1,1}\times {\mathbb{R}}_{\varphi }$ in the UV. Via holographic duality this background corresponds to ${\mathrm{CFT}}_2$ 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.

arXiv comment19 pages, 7 figures

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• Entanglement Beyond $\mathrm{AdS}$
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• Holographic integration of $T\bar{T}$ and $J\bar{T}$ via $O(d,d)$
• Entanglement Entropy for $TT$ deformed CFT in general dimensions
• Entanglement and Rényi Entropy of Multiple Intervals in $T\overline{T}$-Deformed CFT and Holography
• The correlation function of (1,1) and (2,2) supersymmetric theories with $T\bar{T}$ deformation
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• KdV charges in $T\bar{T}$ theories and new models with super-Hagedorn behavior
• $T\bar{T}$ in JT Gravity and BF Gauge Theory
• Infinite pseudo-conformal symmetries of classical $T\bar{T}$, $J\bar{T}$ and $J{T}_a$ - deformed CFTs
• Heating up holography for single-trace $J\bar{T}$ deformations
• $T\bar{T}$-flow effects on torus partition functions
• Chaos of QCD string from holography
• $T\bar{T}$, $J\bar{T}$, $T\bar{J}$ and String Theory
• Entanglement Entropy for $T\bar{T}$, $J\bar{T}$, $T\bar{J}$ deformed holographic CFT
• Comments on $T\bar{T}$, $J\bar{T}$ and String Theory
• Holographic Complexity of LST and Single Trace $T\bar{T}$
• Perturbative renormalization of the $T\bar{T}$-deformed free massive Dirac fermion
• Chiral Decoupling from Irrelevant Deformations
• Holographic Complexity of LST and Single Trace $T\bar{T}$, $J\bar{T}$ and $T\bar{J}$ deformations
• $\frac{SL(2,\mathbb{R})\times U(1)}{U(1)}$ CFT, NS5$+$F1 system and single trace $T\bar{T}$
• Solvable time-like cosets and holography beyond $AdS$
• Note on higher-point correlation functions of the $T\bar{T}$ or $J\bar{T}$ deformed CFTs
• Strings in Irrelevant Deformations of $Ad{S}_3/CF{T}_2$
• Comments on D3-Brane Holography
• Comments on the negative specific heat of the $T\bar{T}$ deformed symmetric product CFT
• $T\bar{T}$, Black Holes and Negative Strings