1. School of physics, Institute for Research in Fundamental Sciences (IPM), PO Box 19395-5531, Tehran, Iran;2. Department of Physics, Sharif University of Technology, PO Box 11365-9161, Tehran, Iran
Abstract:
We show that the asymptotic symmetry algebra of geometries with Schrödinger 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 Schrödinger algebra which admits an extension to an infinite-dimensional symmetry algebra containing a Virasoro subalgebra.