Infinite $\mathrm{T}\bar{\mathrm{T}}$-like symmetries of compactified LST

Abstract

We show that the three-dimensional asymptotically linear dilaton background that arises in the near-horizon decoupling region of NS5-branes compactified on $T^4$ admits boundary conditions that lead to an infinite set of symmetries. The associated conserved charges, which implement field-dependent coordinate transformations, are found to be identical to the corresponding generators in a symmetric product orbifold of $T\bar{T}$ - deformed CFTs. Their algebra is a non-linear modification of the $\mathrm{Virasoro}\times \mathrm{Virasoro}$ algebra, which precisely coincides with the algebra of the "unrescaled" symmetry generators in $T\bar{T}$-deformed CFTs. This further strengthens a previously proposed link between the single-trace $T\bar{T}$ deformation and compactified little string theory.

31 + 19 pp

References in corpus (19)

• On space of integrable quantum field theories
• $T\bar{T}$-deformed 2D Quantum Field Theories
• Surface charge algebra in gauge theories and thermodynamic integrability
• Lectures on Celestial Amplitudes
• A Solvable Irrelevant Deformation of $Ad{S}_3/CF{T}_2$
• Holography for Schrodinger backgrounds
• Holographic renormalization as a canonical transformation
• Central Charges in Extreme Black Hole/CFT Correspondence
• A perturbative CFT dual for pure NS-NS AdS${}_3$ strings
• Holography and Entanglement in Flat Spacetime
• The SAGEX Review on Scattering Amplitudes, Chapter 11: Soft Theorems and Celestial Amplitudes
• Lectures on Celestial Holography
• Two Virasoro symmetries in stringy warped AdS${}_3$
• $T\bar{T}$, the entanglement wedge cross section, and the breakdown of the split property
• Infinite pseudo-conformal symmetries of classical $T\bar{T}$, $J\bar{T}$ and $J{T}_a$ - deformed CFTs
• The Bondi-Metzner-Sachs group in five spacetime dimensions
• Asymptotic structure of the gravitational field in five spacetime dimensions: Hamiltonian analysis
• A definition of primary operators in $J\bar{T}$-deformed CFTs
• $J\bar{T}$-deformed CFTs as non-local CFTs

Cited by in corpus (10)

• 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
• 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
• Space-time symmetry from the world-sheet
• Locality and Conserved Charges in $T\overline{T}$-Deformed CFTs
• Lecture notes on strings in AdS${}_3$ from the worldsheet and the AdS${}_3$/CFT${}_2$ duality
• The on-shell action of supergravity & the B-side of TsT and single-trace $T\bar{T}$