Symmetries, a Systematic Construction of Invariant Fields and AdS Backgrounds

Universe

George Papadopoulos¹ 

[1] Department of Mathematics, King’s College London, Strand, London WC2R 2LS, UK;

关键词: symmetry;    group actions;    gravitational backgrounds;    AdS/CFT;   

DOI  :  10.3390/universe6060076

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown