Anisotropic Weyl invariance
High Energy Physics - Theory
2018-05-30 v2 General Relativity and Quantum Cosmology
Abstract
We consider a non-relativistic free scalar field theory with a type of anisotropic scale invariance in which the number of coordinates "scaling like time" is generically greater than one. We propose the Cartesian product of two curved spaces, the metric of each space being parameterized by the other space, as a notion of curved background to which the theory can be extended. We study this type of geometries, and find a family of extensions of the theory to curved backgrounds in which the anisotropic scale invariance is promoted to a local, Weyl-type symmetry.
Cite
@article{arxiv.1609.00047,
title = {Anisotropic Weyl invariance},
author = {Guillem Pérez-Nadal},
journal= {arXiv preprint arXiv:1609.00047},
year = {2018}
}
Comments
15 pages, matches journal version