Brane charges and Chern Simons invariants of hyperbolic spaces, with cosmological applications

Details Brane charges and Chern Simons invariants of hyperbolic spaces, with cosmological applications Brane charges and Chern Simons invariants of hyperbolic spaces, with cosmological applications

May 2006

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006jpha...39.6217b&link_type=abstract

Journal of Physics A: Mathematical and General, Volume 39, Issue 21, pp. 6217-6224 (2006).

Physics

Scientific paper

We discuss methods of K-theory associated with hyperbolic orbifolds and valid for the description of Chern morphisms and brane charges. Such methods of K-theory are applied to compute D-brane charges, which are identified with elements of Grothendick K-groups, and for manifolds with horizons, spaces that naturally arise as the near-horizon of black brane geometries. In de Sitter spaces, these solutions break supersymmetry, and do not describe universes with zero cosmological constant. Here we pay attention to real hyperbolic spaces, and we examine associated Chern classes and brane charges using methods of K-theory and spectral theory of differential operators related to real hyperbolic spaces. An argument in favour of hyperbolic geometries in the treatment of the contributions to the vacuum persistence amplitude in QFT is given. All those are to be viewed as the proper mathematical structures underlying QFT with relevant backgrounds and boundary conditions in string cosmology.
Invited contribution to the 7th Int. Workshop on Quantum Field Theory under the Influence of External Conditions, QFEXT'05 (Barcelona, 5 9 Sept. 2005).

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