Computation of superpotentials for D-branes

Journal Article

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 ∞-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.

Full Text

Duke Authors

Cited Authors

  • Aspinwall, PS; Katz, S

Published Date

  • 2006

Published In

Volume / Issue

  • 264 / 1

Start / End Page

  • 227 - 253

International Standard Serial Number (ISSN)

  • 0010-3616

Digital Object Identifier (DOI)

  • 10.1007/s00220-006-1527-6