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D-branes on spaces stratified fibered over hyperbolic orbifolds

A. A. Bytsenko

Departamento de Física, Universidade Estadual de Londrina, Caixa Postal 6001, Londrina-Paraná, Brazil

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M. Chaichian

Department of Physics, University of Helsinki, P. O. Box 64, FI-00014 Helsinki, Finland

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, and

M. E. X. Guimarães

Instituto de Física, Universidade Federal Fluminense, Av. Gal. Milton Tavares de Souza, s/n CEP 24210-346, Niterói-RJ, Brazil

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https://doi.org/10.1142/S0217751X14501371Cited by:1 (Source: Crossref)

Abstract

We apply the methods of homology and K-theory for branes wrapping spaces stratified fibered over hyperbolic orbifolds. In addition, we discuss the algebraic K-theory of any discrete co-compact Lie group in terms of appropriate homology and Atiyah–Hirzebruch type spectral sequence with its nontrivial lift to K-homology. We emphasize the fact that the physical D-branes properties are completely transparent within the mathematical framework of K-theory. We derive criteria for D-brane stability in the case of strongly virtually negatively curved groups. We show that branes wrapping spaces stratified fibered over hyperbolic orbifolds carry charge structure and change the additive structural properties in K-homology.

Keywords:

PACS: 12.10.-g, 11.25.Uv

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