Moving holographic boundaries

Abstract

In this paper, we show that for one sign of the deformation coupling single-trace $T\bar{T}$ deformation moves the holographic screen in Gödel universe radially inward. For the other sign of the coupling it moves the holographic screen radially outward. We (thus) argue, on general grounds, that in holography (single-trace) $T\bar{T}$ deformation can be generally thought of as either moving the holographic boundary into the bulk or washing it away to infinity. In Anti-de Sitter this breaks the spacetime conformal symmetry. We further note that moving timelike holographic boundary into bulk creates a curvature singularity. In the boundary the singularity is understood by states with imaginary energies. To make the theory sensible we introduce an ultraviolet cutoff and thereby move the boundary into the bulk. In this paper we first obtain the Penrose limit of the single-trace $T\bar{T}$ deformed string background and then perform $T$-duality along a space-like isometry to obtain a class of (deformed) Gödel universes. The string background we consider is $Ad{S}_3\times S^3\times {\mathcal{M}}_4$. The single-trace $T\bar{T}$ deformation is a particular example of the more general $O(d,d)$ transformations.

v5: typos fixed; appendix added; improved presentation; no changes on results

References in corpus (8)

• On space of integrable quantum field theories
• $T\bar{T}$-deformed 2D Quantum Field Theories
• Asymptotic behavior and Hamiltonian analysis of anti-de Sitter gravity coupled to scalar fields
• Abelian Yang-Baxter Deformations and TsT transformations
• On the worldsheet theories of strings dual to free large N gauge theories
• Visualization of the Gödel universe
• Glue-on AdS holography for $T\bar{T}$-deformed CFTs
• Supersymmetric black holes and $T\bar{T}$ deformation

Cited by in corpus (1)

• Kalb-Ramond field, black holes and black strings in (2 + 1)D