D =11 dS5 backgrounds with enhanced supersymmetry

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 4 is a hyper-Kahler manifold and the M5-brane harmonic function is determined by a hyper-Kahler 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,R-10 AdS(7)xS(4)

Automated summary

This article classifies warped dS(5) backgrounds in D = 11 supergravity with enhanced supersymmetry. The backgrounds preserving different supersymmetries are studied and the corresponding conclusions are given.