Supersymmetry of AdS and flat IIB backgrounds

TY - JOUR

T1 - Supersymmetry of AdS and flat IIB backgrounds

AU - Beck, Sam

AU - Gutowski, J.

AU - Papadopoulos, Georgios

PY - 2015/2/3

Y1 - 2015/2/3

N2 - We present a systematic description of all warped AdS n × w M 10−n and Rn−1,1×wM10−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[n2]k for n ≤ 4 andN=2[n2]+1k for 4 < n ≤ 6 supersymmetries and for k∈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 Rn−1,1×wM10−n backgrounds with fluxes by taking the AdS radius to infinity. We find that these backgrounds preserve N=2[n2]k for 2 < n ≤ 4 and N=2[n+12]k for 4 < n ≤ 7 supersymmetries. We also demonstrate that the Killing spinors of AdS n × w M 10−n do not factorize into Killing spinors onAdS n and Killing spinors on M 10−n .

AB - We present a systematic description of all warped AdS n × w M 10−n and Rn−1,1×wM10−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[n2]k for n ≤ 4 andN=2[n2]+1k for 4 < n ≤ 6 supersymmetries and for k∈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 Rn−1,1×wM10−n backgrounds with fluxes by taking the AdS radius to infinity. We find that these backgrounds preserve N=2[n2]k for 2 < n ≤ 4 and N=2[n+12]k for 4 < n ≤ 7 supersymmetries. We also demonstrate that the Killing spinors of AdS n × w M 10−n do not factorize into Killing spinors onAdS n and Killing spinors on M 10−n .

KW - AdS-CFT Correspondence

KW - Supergravity Models

UR - http://www.scopus.com/inward/record.url?scp=84923821808&partnerID=8YFLogxK

U2 - 10.1007/JHEP02(2015)020

DO - 10.1007/JHEP02(2015)020

M3 - Article

AN - SCOPUS:84923821808

SN - 1126-6708

VL - 2015

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 2

ER -