Supersymmetry of AdS and flat IIB backgrounds

Sam Beck, J. Gutowski*, Georgios Papadopoulos

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

19 Citations (Scopus)


We present a systematic description of all warped AdS × M 10−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 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 backgrounds can be identified with the zero modes of Dirac-like operators on M 10−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 × M 10−do not factorize into Killing spinors onAdS and Killing spinors on M 10−.

Original languageEnglish
Number of pages45
JournalJournal of High Energy Physics
Issue number2
Early online date3 Feb 2015
Publication statusPublished - 3 Feb 2015


  • AdS-CFT Correspondence
  • Supergravity Models


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