Supersymmetry of AdS and flat IIB backgrounds
Beck, SW, Gutowski, JB and Papadopoulos, G (2014) Supersymmetry of AdS and flat IIB backgrounds
Full text not available from this repository.Abstract
We present a systematic description of all warped $AdS_n\times_w M^{10n}$ and ${\mathbb{R}}^{n1,1}\times_w M^{10n}$ 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 Diraclike operators on $M^{10n}$ establishing a new class of Lichnerowicz type theorems. Furthermore, we adapt some of these results to ${\mathbb{R}}^{n1,1}\times_w M^{10n}$ 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 $AdS_n\times_w M^{10n}$ do not factorize into Killing spinors on $AdS_n$ and Killing spinors on $M^{10n}$.
Item Type:  Article  

Divisions :  Faculty of Engineering and Physical Sciences > Mathematics  
Authors : 


Date :  13 October 2014  
DOI :  10.1007/JHEP02(2015)020  
Uncontrolled Keywords :  hepth, hepth, grqc, mathph, math.MP  
Related URLs :  
Depositing User :  Symplectic Elements  
Date Deposited :  17 May 2017 13:29  
Last Modified :  10 Jun 2019 13:15  
URI:  http://epubs.surrey.ac.uk/id/eprint/839396 
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