Papers from the RTN Workshop on the Quantum Structure of Spacetime and the Geometric Nature of Fundamental Interactions, Copenhagen, 15-20 September 2003Classical and quantum gravity (Print). 21(10):S1367-S1374
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Notes:
Physics of elementary particles and fields
Theoretical physics
Accession Number:
edscal.15782968
Database:
PASCAL Archive
Further Information
We discuss some consequences of the fact that symmetry groups appearing in compactified (super-)gravity may be non-simply connected. The possibility to add fermions to a theory results in a simple criterion to decide whether a three-dimensional coset sigma model can be interpreted as a dimensional reduction of a higher-dimensional theory. Similar criteria exist for higher-dimensional sigma models, though less decisive. A careful examination of the topology of symmetry groups rules out certain proposals for M-theory symmetries, which are not ruled out at the level of the algebras. We conclude with an observation on the relation between the 'generalized holonomy' proposal, and the actual symmetry groups resulting from E10 and E11 conjectures.
