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. © 2014 Springer-Verlag Berlin Heidelberg.

Cassani, D., Klare, C., Martelli, D., Tomasiello, A., Zaffaroni, A. (2014). Supersymmetry in Lorentzian Curved Spaces and Holography. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 327(2), 577-602 [10.1007/s00220-014-1983-3].

Supersymmetry in Lorentzian Curved Spaces and Holography

KLARE, CLAUDIUS;TOMASIELLO, ALESSANDRO;ZAFFARONI, ALBERTO
2014

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. © 2014 Springer-Verlag Berlin Heidelberg.
Articolo in rivista - Articolo scientifico
Supersymmetric gauge theories; AdS-CFT Correspondence; Quantum Field Theory on curved spaces
English
2014
327
2
577
602
none
Cassani, D., Klare, C., Martelli, D., Tomasiello, A., Zaffaroni, A. (2014). Supersymmetry in Lorentzian Curved Spaces and Holography. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 327(2), 577-602 [10.1007/s00220-014-1983-3].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/53148
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