Infinite $\mathrm{T\bar T}$-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^4T4 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 TTT‾ - deformed CFTs. Their algebra is a non-linear modification of the Virasoro × Virasoro algebra, which precisely coincides with the algebra of the “unrescaled” symmetry generators in T\bar TTT‾-deformed CFTs. This further strengthens a previously proposed link between the single-trace T\bar TTT‾ deformation and compactified little string theory.