Meta-Schr\"odinger invariance

Stoimen Stoimenov; Malte Henkel

doi:10.1016/j.nuclphysb.2022.116020

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arXiv · 2112.14143

Meta-Schr\"odinger invariance

Stoimen Stoimenov·Malte Henkel

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Abstract

The Meta-Schr\"odinger 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-Schr\"odinger-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.

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BibTeX RIS

Stoimen Stoimenov, Malte Henkel. 2021-12-28. Meta-Schr\"odinger invariance. https://doi.org/10.1016/j.nuclphysb.2022.116020

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