Symmetries, a systematic construction of invariant fields and ads backgrounds

George Papadopoulos*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


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.

Original languageEnglish
Article number76
Issue number6
Publication statusPublished - Jun 2020


  • AdS/CFT
  • Gravitational backgrounds
  • Group actions
  • Symmetry


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