D-branes on Nonabelian Threefold Quotient Singularities

Details D-branes on Nonabelian Threefold Quotient Singularities D-branes on Nonabelian Threefold Quotient Singularities

1998-11-23

arxiv.org/abs/hep-th/9811201v1

Nucl.Phys. B553 (1999) 711-749

Physics

High Energy Physics

High Energy Physics - Theory

44 pages, 7 figures

Scientific paper

10.1016/S0550-3213(99)00286-2

We investigate the classical moduli space of D-branes on a nonabelian Calabi-Yau threefold singularity and find that it admits topology-changing transitions. We construct a general formalism of worldvolume field theories in the language of quivers and give a procedure for computing the enlarged Kahler cone of the moduli space. The topology changing transitions achieved by varying the Fayet-Iliopoulos parameters correspond to changes of linearization of a geometric invariant theory quotient and can be studied by methods of algebraic geometry. Quite surprisingly, the structure of the enlarged Kahler cone can be computed by toric methods. By using this approach, we give a detailed discussion of two low-rank examples.

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