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

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 $\mathbb{R}^{1,1}\times\mathbb{R}_φ$ 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.

Figures (7)

• Figure 1: The quark anti-quark separation $L$ as a function of $U_0$ in $\mathcal{M}_3$ at zero temperature.
• Figure 2: $E(U_0)$ vs $U_0$ in $\mathcal{M}_3$ at zero temperature.
• Figure 3: (a) $E(L)$ vs $L$ in $\mathcal{M}_3$ at zero temperature. (b) $E(L)$ vs $L$$\mathcal{M}_3$ at zero temperature in black and in $AdS_3$ at zero temperature in dotted red.
• Figure 4: (a) $F(L)$ vs $L$ in $\mathcal{M}_3$ at zero temperature. (b) ${dF(L)\over dL}$ vs $L$ in $\mathcal{M}_3$ at zero temperature.
• Figure 5: The figure shows a schematic variation of $L$ as a function of $U_0$ in $\mathcal{M}_3$ at finite temperature with: (a) $U_T$ in deep $AdS_3$ regime, (b) $U_T$ in linear dilaton regime.