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.

arXiv commentv5: typos fixed; appendix added; improved presentation; no changes on results

References in corpus (51)

• Gauge Theory Correlators from Non-Critical String Theory
• Black Hole Entropy is Noether Charge
• Strings in flat space and pp waves from $\mathcal{N}=4$ Super Yang Mills
• All supersymmetric solutions of minimal supergravity in five dimensions
• Deforming field theories with $U(1)\times U(1)$ global symmetry and their gravity duals
• On space of integrable quantum field theories
• $T\bar{T}$-deformed 2D Quantum Field Theories
• Duality, Quotients, and Currents
• Novel Local CFT and Exact Results on Perturbations of N=4 Super Yang Mills from AdS Dynamics
• Lax Pair for Strings in Lunin-Maldacena Background
• Timelike T-Duality, de Sitter Space, Large $N$ Gauge Theories and Topological Field Theory
• Null energy condition and superluminal propagation
• Comments on string theory backgrounds with non-relativistic conformal symmetry
• More Comments on String Theory on AdS_3
• Conformal Field Theory of AdS Background with Ramond-Ramond Flux
• Gauge Theory and the Excision of Repulson Singularities
• Supertubes
• Some Global Aspects of Duality is String Theory
• Plane Wave Limits and T-Duality
• The Holographic Principle for General Backgrounds
• A New Class of Exact Solutions in String Theory
• Modular invariance and uniqueness of $T\bar{T}$ deformed CFT
• Asymptotic behavior and Hamiltonian analysis of anti-de Sitter gravity coupled to scalar fields
• Multiple-Trace Operators and Non-Local String Theories
• Asymptotically Anti-de Sitter spacetimes and scalar fields with a logarithmic branch
• Abelian Yang-Baxter Deformations and TsT transformations
• Exact Duality Symmetries in CFT and String Theory
• Green-Schwarz Strings in TsT-transformed backgrounds
• Superstrings on NS5 backgrounds, deformed AdS3 and holography
• Marginal Deformations of WZNW and Coset Models from O(d,d) Transformation
• Strings on Curved Spacetimes: Black Holes, Torsion, and Duality
• Spinning deformations of the D1-D5 system and a geometric resolution of Closed Timelike Curves
• On $T\bar{T}$ deformations and supersymmetry
• Supersymmetric Godel Universes in String Theory
• The WZNW model on PSU(1,1|2)
• Goedel's Universe in a Supertube Shroud
• Holographic integration of $T\bar{T}$ and $J\bar{T}$ via $O(d,d)$
• On exact solutions and singularities in string theory
• Quantization of heterotic strings in a Goedel/Anti de Sitter spacetime and chronology protection
• A truly marginal deformation of SL(2,R) in a null direction
• Interactions in the SL(2,R)/U(1) Black Hole Background
• Conformally Exact Results for SL(2,R)\times SO(1,1)^{d-2}/SO(1,1) Coset Models
• $T\bar{T}$ deformations as TsT transformations
• On the worldsheet theories of strings dual to free large N gauge theories
• Closed Timelike Curves and Holography in Compact Plane Waves
• String Theory on Parallelizable PP-Waves
• Classical and Quantum Strings in compactified pp-waves and Godel type Universes
• Visualization of the Gödel universe
• Glue-on AdS holography for $T\bar{T}$-deformed CFTs
• KdV Charges and the Generalized Torus Partition Sum in $T\bar{T}$ deformation
• Supersymmetric black holes and $T\bar{T}$ deformation

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