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.

arXiv comment31 + 19 pp

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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 $T\bar{T}$