Aspinwall, PS; Katz, S, *Computation of superpotentials for D-branes*,
Communications in Mathematical Physics, vol. 264 no. 1
(2006),
pp. 227-253 [hep-th/0412209], [doi] .
**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.*