Supersymmetry of IIA warped flux AdS and flat backgrounds

• DOI: 10.1007/jhep09(2015)135
• Publication Date: 2015-09-23T23:09:27Z
• Authors: S. Beck; J. Gutowski; G. Papadopoulos
• Keywords: High Energy Physics - Theory; Nuclear and High Energy Physics; High Energy Physics - Theory (hep-th); 0103 physical sciences; FOS: Physical sciences; General Relativity and Quantum Cosmology (gr-qc); AdS-CFT Correspondence; Supergravity Models; 01 natural sciences; 333; General Relativity and Quantum Cosmology

44 pages<br/>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 $40}$. 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<br/>