Abstract
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.
Original language | English (US) |
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Pages (from-to) | 227-253 |
Number of pages | 27 |
Journal | Communications in Mathematical Physics |
Volume | 264 |
Issue number | 1 |
DOIs | |
State | Published - May 2006 |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics