Supersymmetry in Lorentzian Curved Spaces and Holography

Davide Cassani*, Claudius Klare, Dario Martelli, Alessandro Tomasiello, Alberto Zaffaroni

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

67 Citations (Scopus)

Abstract

We consider superconformal and supersymmetric field theories on four-dimensional Lorentzian curved space-times, and their five-dimensional holographic duals. As in the Euclidean signature case, preserved supersymmetry for a superconformal theory is equivalent to the existence of a charged conformal Killing spinor. Differently from the Euclidean case, we show that the existence of such spinors is equivalent to the existence of a null conformal Killing vector. For a supersymmetric field theory with an R-symmetry, this vector field is further restricted to be Killing. We demonstrate how these results agree with the existing classification of supersymmetric solutions of minimal gauged supergravity in five dimensions.

Original languageEnglish
Pages (from-to)577-602
Number of pages26
JournalCommunications in Mathematical Physics
Volume327
Issue number2
DOIs
Publication statusPublished - 1 Apr 2014

Keywords

  • CONFORMAL SUPERGRAVITY
  • N=1 SUPERGRAVITY
  • FORMULATION
  • EQUATIONS

Fingerprint

Dive into the research topics of 'Supersymmetry in Lorentzian Curved Spaces and Holography'. Together they form a unique fingerprint.

Cite this