Computation of Superpotentials for D-Branes

Details Computation of Superpotentials for D-Branes Computation of Superpotentials for D-Branes

2004-12-18

arxiv.org/abs/hep-th/0412209v1

Commun.Math.Phys. 264 (2006) 227-253

Physics

High Energy Physics

High Energy Physics - Theory

28 pages

Scientific paper

We present a general method for the computation of tree-level superpotentials for the world-volume theory of B-type D-branes. This includes quiver gauge theories in the case that the D-brane is marginally stable. The technique involves analyzing the A-infinity structure inherent in the derived category of coherent sheaves. This effectively gives a practical method of computing correlation functions in holomorphic Chern-Simons theory. As an example, we give a more rigorous proof of previous results concerning 3-branes on certain singularities including conifolds. We also provide a new example.

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