On the geometry of the supermultiplet in M-theory

Details On the geometry of the supermultiplet in M-theory On the geometry of the supermultiplet in M-theory

2009-09-25

arxiv.org/abs/0909.4737v2

Int. J. Geom. Meth. Mod. Phys. 8 (2011) 1-33

Physics

High Energy Physics

High Energy Physics - Theory

28 pages, exposition improved, minor changes, references added

Scientific paper

10.1142/S0219887811005774

The massless supermultiplet of eleven-dimensional supergravity can be generated from the decomposition of certain representation of the exceptional Lie group F4 into those of its maximal compact subgroup Spin(9). In an earlier paper, a dynamical Kaluza-Klein origin of this observation is proposed with internal space the Cayley plane, OP2, and topological aspects are explored. In this paper we consider the geometric aspects and characterize the corresponding forms which contribute to the action as well as cohomology classes, including torsion, which contribute to the partition function. This involves constructions with bilinear forms. The compatibility with various string theories are discussed, including reduction to loop bundles in ten dimensions.

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