Geometric and topological aspects of Type IIB D-branes

Details Geometric and topological aspects of Type IIB D-branes Geometric and topological aspects of Type IIB D-branes

2009-12-02

arxiv.org/abs/0912.0460v1

Physics

High Energy Physics

High Energy Physics - Theory

135 pages, Master's thesis (advisor Jouko Mickelsson), University of Helsinki

Scientific paper

In string theory D-branes can be classified by the RR-charge they carry. In the simplest case the quantized RR-charge takes values in K-theory of the spacetime manifold. However, if the D-brane worldvolume is not spin^c or if there is a background B-field present, the Freed-Witten anomaly cancellation condition requires the RR-charge to take values in twisted K-theory. Twisted K-theory can be defined using the language of noncommutative geometry, thus opening up a possibility for noncommutative generalizations, in particular of the Minasian-Moore formula for the classical approximation of the charge (as was done in arXiv:hep-th/0607020v3). A friendly introduction to these topics is given.

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