Asymptotic symmetry of geometries with Schrodinger isometry

TL;DR

This paper demonstrates that geometries with Schrödinger isometry possess an infinite-dimensional asymptotic symmetry algebra, including a Virasoro algebra, aligning with the dual non-relativistic conformal field theories' symmetries.

Contribution

It establishes the presence of an infinite-dimensional symmetry algebra with a Virasoro subalgebra in geometries with Schrödinger isometry across any dimension.

Findings

Asymptotic symmetry algebra contains a Virasoro algebra.

Compatibility with dual non-relativistic CFTs.

Extension of Schrödinger algebra to infinite dimensions.

Abstract

We show that the asymptotic symmetry algebra of geometries with Schrodinger isometry in any dimension is an infinite dimensional algebra containing one copy of Virasoro algebra. It is compatible with the fact that the corresponding geometries are dual to non-relativistic CFTs whose symmetry algebra is the Schrodinger algebra which admits an extension to an infinite dimensional symmetry algebra containing a Virasoro subalgebra.