Homogeneous Einstein Metrics, Supersymmetry and Pseudo-Supersymmetry

Abstract: Compact Einstein spaces have been of interest for Kaluza-Klein reduction of higher-dimensional supergravity theories since the 1980s. One of the earliest "exotic" applications was the reduction of eleven-dimensional supergravity on the Jensen squashed 7-sphere, giving a four-dimensional theory with N=1 supersymmetry. Compact semi-simple group manifolds can provide large classes of homogeneous squashed Einstein metrics, with increasing richness as the dimension increases. Most of these lie beyond the range of dimensions relevant for ordinary supergravities, which exist only in eleven dimensions or less. However, if certain of the requirements for strict supersymmetry are relaxed, theories with "pseudo-supersymmetry" can be constructed in arbitrary dimensions, and these provide a framework within which group manifold compactifications may have interesting applications.

differential geometry

Audience: researchers in the topic

Workshop on compact homogeneous Einstein manifolds

Series comments: The workshop aims at bringing together mathematicians that have contributed and are contributing to the study of Einstein metrics on the challenging class of all compact homogeneous spaces.