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Supersymmetry of IIA warped flux AdS and flat backgrounds

Beck, S, Gutowski, JB and Papadopoulos, G (2015) Supersymmetry of IIA warped flux AdS and flat backgrounds

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We identify the fractions of supersymmetry preserved by the most general warped flux AdS and flat backgrounds in both massive and standard IIA supergravities. We find that $AdS_n\times_w M^{10-n}$ preserve $2^{[{n\over2}]} k$ for $n\leq 4$ and $2^{[{n\over2}]+1} k$ for $4<n\leq 7$ supersymmetries, $k\in \bN_{>0}$. In addition we show that, for suitably restricted fields and $M^{10-n}$, the killing spinors of AdS backgrounds are given in terms of the zero modes of Dirac like operators on $M^{10-n}$. This generalizes the Lichnerowicz theorem for connections whose holonomy is included in a general linear group. We also adapt our results to $\bR^{1,n-1}\times_w M^{10-n}$ backgrounds which underpin flux compactifications to $\bR^{1,n-1}$ and show that these preserve $2^{[{n\over2}]} k$ for $2<n\leq 4$, $2^{[{n+1\over2}]} k$ for $4<n\leq 8$, and $2^{[{n\over2}]} k$ for $n=9, 10$ supersymmetries.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
Beck, S
Papadopoulos, G
Date : 29 January 2015
DOI : 10.1007/JHEP09(2015)135
Uncontrolled Keywords : hep-th, hep-th, gr-qc
Related URLs :
Depositing User : Symplectic Elements
Date Deposited : 17 May 2017 13:33
Last Modified : 10 Jun 2019 13:15

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