D = 11 dS 5 backgrounds with enhanced supersymmetry

Abstract

Abstract We classify all warped dS 5 backgrounds in D = 11 supergravity with enhanced supersymmetry. We show that backgrounds preserving N = 16 supersymmetries consist of either a stack of M5 branes with transverse space R 5 , or a generalized M5-brane configuration with transverse space R × N 4 , where N 4 is a hyper-Kähler manifold and the M5-brane harmonic function is determined by a hyper-Kähler potential on N 4. Moreover, we find that there are no backgrounds preserving exactly N = 24 supersymmetries. Backgrounds preserving N = 32 supersymmetries correspond to either R 1 , 10 or A d S 7 × S 4 .