Wednesday, January 23, 2013

1301.5094 (Calin Iuliu Lazaroiu et al.)

Geometric algebra and M-theory compactifications    [PDF]

Calin Iuliu Lazaroiu, Elena-Mirela Babalic
We show how supersymmetry conditions for flux compactifications of supergravity and string theory can be described in terms of a flat subalgebra of the Kahler-Atiyah algebra of the compactification space, a description which has wide-ranging applications. As a motivating example, we consider the most general M-theory compactifications on eight-manifolds down to AdS3 spaces which preserve N=2 supersymmetry in 3 dimensions. We also give a brief sketch of the lift of such equations to the cone over the compactification space and of the geometric algebra approach to `constrained generalized Killing pinors', which forms the technical and conceptual core of our investigation.
View original: http://arxiv.org/abs/1301.5094

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