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Fluxes, Brane Charges and Chern Morphisms of Hyperbolic Geometry

Show simple item record Bonora, Loriano en_US Bytsenko, Andrei A. en_US 2006-04-12T10:16:50Z en_US 2011-09-07T20:27:40Z 2006-04-12T10:16:50Z en_US 2011-09-07T20:27:40Z 2006-04-12T10:16:50Z en_US
dc.identifier.citation Class. Quantum Grav. 23 (2006) 3895-3915 en_US
dc.identifier.uri en_US
dc.description.abstract The purpose of this paper is to provide the reader with a collection of results which can be found in the mathematical literature and to apply them to hyperbolic spaces that may have a role in physical theories. Specifically we apply K-theory methods for the calculation of brane charges and RR-fields on hyperbolic spaces (and orbifolds thereof). It is known that by tensoring K-groups with the rationals, K-theory can be mapped to rational cohomology by means of the Chern character isomorphisms. The Chern character allows one to relate the analytic Dirac index with a topological index, which can be expressed in terms of cohomological characteristic classes. We obtain explicit formulas for Chern character, spectral invariants, and the index of a twisted Dirac operator associated with real hyperbolic spaces. Some notes for a bivariant version of topological K-theory (KK-theory) with its connection to the index of the twisted Dirac operator and twisted cohomology of hyperbolic spaces are given. Finally we concentrate on lower K-groups useful for description of torsion charges. en_US
dc.format.extent 328273 bytes en_US
dc.format.mimetype application/pdf en_US
dc.language.iso en_US en_US
dc.relation.ispartofseries SISSA;06/2006/EP en_US
dc.relation.ispartofseries;hep-th/0602162 en_US
dc.relation.uri 10.1088/0264-9381/23/11/014 en_US
dc.title Fluxes, Brane Charges and Chern Morphisms of Hyperbolic Geometry en_US
dc.type Preprint en_US
dc.contributor.department Elementary Particle Theory en_US
dc.contributor.area Physics en_US

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