D-Brane Stability and Monodromy

Details D-Brane Stability and Monodromy D-Brane Stability and Monodromy

2001-10-08

arxiv.org/abs/hep-th/0110071v2

JHEP 0205 (2002) 031

Physics

High Energy Physics

High Energy Physics - Theory

35 pages, 8 figures, refs added

Scientific paper

10.1088/1126-6708/2002/05/031

We review the idea of Pi-stability for B-type D-branes on a Calabi-Yau manifold. It is shown that the octahedral axiom from the theory of derived categories is an essential ingredient in the study of stability. Various examples in the context of the quintic Calabi-Yau threefold are studied and we plot the lines of marginal stability in several cases. We derive the conjecture of Kontsevich, Horja and Morrison for the derived category version of monodromy around a "conifold" point. Finally, we propose an application of these ideas to the study of supersymmetry breaking.

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