Arjan Keurentjes 2004 Class. Quantum Grav. 21 1695 doi:10.1088/0264-9381/21/6/025
The topology of U-duality (sub)groups
Arjan Keurentjes
Show affiliationsWe discuss the topology of the symmetry groups appearing in compactified (super)gravity, and discuss two applications. First, we demonstrate that for three-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 
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.
- PACS
- MSC
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54D35 Extensions of spaces (compactifications, supercompactifications, completions, etc.)
- Subjects
- Dates
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Issue 6 (21 March 2004)
Received 17 December 2003
Published 2 March 2004
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The topology of U-duality (sub)groups
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