Supersymmetry in Lorentzian Curved Spaces and Holography

Davide Cassani; Claudius Klare; Dario Martelli; Alessandro Tomasiello; Alberto Zaffaroni

doi:10.1007/s00220-014-1983-3

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 journal › Article › peer-review

73 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 language	English
Pages (from-to)	577-602
Number of pages	26
Journal	Communications in Mathematical Physics
Volume	327
Issue number	2
DOIs	https://doi.org/10.1007/s00220-014-1983-3
Publication status	Published - 1 Apr 2014

Keywords

CONFORMAL SUPERGRAVITY
N=1 SUPERGRAVITY
FORMULATION
EQUATIONS

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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.",

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T1 - Supersymmetry in Lorentzian Curved Spaces and Holography

AU - Cassani, Davide

AU - Klare, Claudius

AU - Martelli, Dario

AU - Tomasiello, Alessandro

AU - Zaffaroni, Alberto

PY - 2014/4/1

Y1 - 2014/4/1

N2 - 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.

AB - 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.

KW - CONFORMAL SUPERGRAVITY

KW - N=1 SUPERGRAVITY

KW - FORMULATION

KW - EQUATIONS

U2 - 10.1007/s00220-014-1983-3

DO - 10.1007/s00220-014-1983-3

M3 - Article

SN - 0010-3616

VL - 327

SP - 577

EP - 602

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

IS - 2

ER -

Supersymmetry in Lorentzian Curved Spaces and Holography

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Keywords

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