Return of the Torsion D-Branes

Details Return of the Torsion D-Branes Return of the Torsion D-Branes

2001-06-27

arxiv.org/abs/hep-th/0106262v1

Adv.Theor.Math.Phys. 5 (2002) 311-352

Physics

High Energy Physics

High Energy Physics - Theory

33 pages, 1 figure, LaTeX2e with utarticle.cls and utphys.bst

Scientific paper

We study D-branes on Calabi-Yau manifolds, carrying charges which are torsion elements of the K-theory. Interesting physics ensues when we follow these branes into nongeometrical phases of the compactification. On the level of K-theory, we determine the monodromies of the group of charges as we circle singular loci in the closed string moduli space. Going beyond K-theory, we discuss the stability of torsion D-branes as a function of the K\"ahler moduli. When the fundamental group of the Calabi-Yau is nonabelian, we find evidence for new threshold bound states of BPS branes. In a two-parameter example, we compare our results with computations in the Gepner model. Our study of the torsion D-branes in the compactification of [FHSV] sheds light on the physics of that model. In particular, we develop a proposal for the group of allowed D-brane charges in the presence of discrete RR fluxes.

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