Meta-Schrödinger invariance
arXiv:2112.14143 · doi:10.1016/j.nuclphysb.2022.116020
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.
Latex2e, 1+28 pages, no figures
References in corpus (8)
- Non-relativistic conformal symmetries and Newton-Cartan structures
- On dynamical realizations of l-conformal Galilei and Newton-Hooke algebras
- Symmetries of the Schrödinger Equation and Algebra/Superalgebra Duality
- -oscillators from second-order invariant PDEs of the centrally extended Conformal Galilei Algebras
- Meta-conformal invariance and the boundedness of two-point correlation functions
- Minimal realization of -conformal Galilei algebra, Pais-Uhlenbeck oscillators and their deformation
- Boundedness of meta-conformal two-point functions in one and two spatial dimensions
- Single-spin-flip dynamics of the Ising chain