Symmetries, a systematic construction of invariant fields and AdS backgrounds
High Energy Physics - Theory
2020-07-10 v2 General Relativity and Quantum Cosmology
Mathematical Physics
math.MP
Abstract
We give a systematic local description of invariant metrics and other invariant fields on a spacetime under the action of a (non-abelian) group. This includes the invariant fields in a neighbourhood of a principal and a special orbit. The construction is illustrated with examples. We also apply the formalism to give the R-symmetry invariant metrics of some AdS backgrounds and comment on applications to Kaluza-Klein theory.
Keywords
Cite
@article{arxiv.2002.05613,
title = {Symmetries, a systematic construction of invariant fields and AdS backgrounds},
author = {G. Papadopoulos},
journal= {arXiv preprint arXiv:2002.05613},
year = {2020}
}
Comments
23 pages, minor corrections, some references added