Supersymmetry of IIA warped flux AdS and flat backgrounds

S. Beck; J. B. Gutowski; G. Papadopoulos

doi:10.1007/JHEP09(2015)135

paper

Supersymmetry of IIA warped flux AdS and flat backgrounds

arXiv:1501.07620 · doi:10.1007/JHEP09(2015)135

Abstract

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 $A d S_{n} \times_{w} M^{10 - n}$ preserve $2^{[\frac{n}{2}]} k$ for $n \leq 4$ and $2^{[\frac{n}{2}] + 1} k$ 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 $2^{[\frac{n}{2}]} k$ for $2 < n \leq 4$ , $2^{[\frac{n + 1}{2}]} k$ for $4 < n \leq 8$ , and $2^{[\frac{n}{2}]} k$ for $n = 9, 10$ supersymmetries.

44 pages

Supersymmetry of IIA warped flux AdS and flat backgrounds

Abstract

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