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Supersymmetry of AdS and flat IIB backgrounds

Beck, SW, Gutowski, JB and Papadopoulos, G (2014) Supersymmetry of AdS and flat IIB backgrounds

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Abstract

We present a systematic description of all warped $AdS_n\times_w M^{10-n}$ and ${\mathbb{R}}^{n-1,1}\times_w M^{10-n}$ IIB backgrounds and identify the a priori number of supersymmetries $N$ preserved by these solutions. In particular, we find that the $AdS_n$ backgrounds preserve $N=2^{[{n\over2}]} k$ for $n\leq 4$ and $N=2^{[{n\over2}]+1} k$ for $4<n\leq 6$ supersymmetries and for $k\in {\mathbb{N}}_{+}$ suitably restricted. In addition under some assumptions required for the applicability of the maximum principle, we demonstrate that the Killing spinors of $AdS_n$ backgrounds can be identified with the zero modes of Dirac-like operators on $M^{10-n}$ establishing a new class of Lichnerowicz type theorems. Furthermore, we adapt some of these results to ${\mathbb{R}}^{n-1,1}\times_w M^{10-n}$ backgrounds with fluxes by taking the AdS radius to infinity. We find that these backgrounds preserve $N=2^{[{n\over2}]} k$ for $2<n\leq 4$ and $N=2^{[{n+1\over2}]} k$ for $4<n\leq 7$ supersymmetries. We also demonstrate that the Killing spinors of $AdS_n\times_w M^{10-n}$ do not factorize into Killing spinors on $AdS_n$ and Killing spinors on $M^{10-n}$.

Item Type: Article
Authors :
NameEmailORCID
Beck, SWUNSPECIFIEDUNSPECIFIED
Gutowski, JBj.gutowski@surrey.ac.ukUNSPECIFIED
Papadopoulos, GUNSPECIFIEDUNSPECIFIED
Date : 13 October 2014
Identification Number : https://doi.org/10.1007/JHEP02(2015)020
Uncontrolled Keywords : hep-th, hep-th, gr-qc, math-ph, math.MP
Related URLs :
Depositing User : Symplectic Elements
Date Deposited : 17 May 2017 13:29
Last Modified : 17 May 2017 15:11
URI: http://epubs.surrey.ac.uk/id/eprint/839396

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