Holography and Irrelevant Operators

Abstract

We explore the holographic proposal involving spacetimes with linear dilaton asymptotics in three dimensions from a gravity perspective. The holographic dual shares some properties with a symmetric product conformal field theory deformed by a single-trace analogue of the $T\overline{T}$ deformation. We present solutions of ten-dimensional supergravity which interpolate from BTZ black holes in the interior to either a linear dilaton spacetime near infinity, or to flat space. This allows a precise identification of field theory parameters with gravity parameters. The solutions manifestly exhibit the square root structure that is characteristic of $T\overline{T}$-deformed conformal field theories. We compute the mass of the spacetimes using the covariant phase space formalism and find agreement with the square root formula for the case of black holes without spin. We also discuss whether closed string tachyons might play a role when the deformation parameter becomes too large and the vacuum becomes unstable.

44 pages, LaTeX; v2: references and a new section added

References in corpus (5)

• On space of integrable quantum field theories
• $T\bar{T}$-deformed 2D Quantum Field Theories
• A Solvable Irrelevant Deformation of $Ad{S}_3/CF{T}_2$
• Note on the First Law with p-form potentials
• Domain Walls, Triples and Acceleration

Cited by in corpus (10)

• Duality-Invariant Non-linear Electrodynamics and Stress Tensor Flows
• Interacting Chiral Form Field Theories and $T\overline{T}$-like Flows in Six and Higher Dimensions
• $T\overline{T}$-Like Flows and $3d$ Nonlinear Supersymmetry
• ModMax Oscillators and Root-$T\overline{T}$-Like Flows in Supersymmetric Quantum Mechanics
• Holography of Linear Dilaton Spacetimes from the Bottom Up
• Holographic Fluids from 5D Dilaton Gravity
• Entanglement Entropy and Thermal Phase Transitions from Curvature Singularities
• Asymptotic Symmetries in the TsT/$T\bar{T}$ Correspondence
• On String theory on deformed BTZ and $T\bar{T}+J\bar{T}+T\bar{J}$
• The on-shell action of supergravity & the B-side of TsT and single-trace $T\bar{T}$