Meta-Schrödinger invariance

Abstract

The Meta-Schrödinger algebra arises as the dynamical symmetry in transport processes which are ballistic in a chosen 'parallel' direction and diffusive and all other 'transverse' directions. The time-space transformations of this Lie algebra and its infinite-dimensional extension, the meta-Schrödinger-Virasoro algebra, are constructed. We also find the representation suitable for non-stationary systems by proposing a generalised form of the generator of time-translations. Co-variant two-point functions of quasi-primary scaling operators are derived for both the stationary and the non-stationary cases.