Supersymmetry in Lorentzian Curved Spaces and Holography
Abstract
We consider superconformal and supersymmetric field theories on fourdimensional Lorentzian curved spacetimes, and their fivedimensional 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 Rsymmetry, 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.
 Publication:

Communications in Mathematical Physics
 Pub Date:
 April 2014
 DOI:
 10.1007/s0022001419833
 arXiv:
 arXiv:1207.2181
 Bibcode:
 2014CMaPh.327..577C
 Keywords:

 High Energy Physics  Theory
 EPrint:
 35 pages