D-branes, KK-theory and duality on noncommutative spaces

Details D-branes, KK-theory and duality on noncommutative spaces D-branes, KK-theory and duality on noncommutative spaces

2007-09-13

arxiv.org/abs/0709.2128v2

J.Phys.Conf.Ser.103:012004,2008

Physics

High Energy Physics

High Energy Physics - Theory

13 pages; v2: typos corrected; Based on invited talks given by R.J.S. at the International Conferences ``Noncommutative Spacet

Scientific paper

10.1088/1742-6596/103/1/012004

We present a new categorical classification framework for D-brane charges on
noncommutative manifolds using methods of bivariant K-theory. We describe
several applications including an explicit formula for D-brane charge in cyclic
homology, a refinement of open string T-duality, and a general criterion for
cancellation of global worldsheet anomalies.

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