The topology of U-duality (sub-)groups

Details The topology of U-duality (sub-)groups The topology of U-duality (sub-)groups

2003-09-10

arxiv.org/abs/hep-th/0309106v1

Class.Quant.Grav. 21 (2004) 1695-1708

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, LaTeX, 1 figure, 2 tables

Scientific paper

10.1088/0264-9381/21/6/025

We discuss the topology of the symmetry groups appearing in compactified (super-)gravity, and discuss two applications. First, we demonstrate that for 3 dimensional sigma models on a symmetric space G/H with G non-compact and H the maximal compact subgroup of G, the possibility of oxidation to a higher dimensional theory can immediately be deduced from the topology of H. Second, by comparing the actual symmetry groups appearing in maximal supergravities with the subgroups of SL(32,R) and Spin(32), we argue that these groups cannot serve as a local symmetry group for M-theory in a formulation of de Wit-Nicolai type.

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