Massless D-Branes on Calabi-Yau Threefolds and Monodromy

Details Massless D-Branes on Calabi-Yau Threefolds and Monodromy Massless D-Branes on Calabi-Yau Threefolds and Monodromy

2002-09-19

arxiv.org/abs/hep-th/0209161v2

Commun.Math.Phys. 259 (2005) 45-69

Physics

High Energy Physics

High Energy Physics - Theory

29 pages, LaTeX2e, 3 figures, author order fixed

Scientific paper

10.1007/s00220-005-1378-6

We analyze the link between the occurrence of massless B-type D-branes for specific values of moduli and monodromy around such points in the moduli space. This allows us to propose a classification of all massless B-type D-branes at any point in the moduli space of Calabi-Yau's. This classification then justifies a previous conjecture due to Horja for the general form of monodromy. Our analysis is based on using monodromies around points in moduli space where a single D-brane becomes massless to generate monodromies around points where an infinite number become massless. We discuss the various possibilities within the classification.

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