Computation of Superpotentials for D-Branes |
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Authors: | Paul S Aspinwall Sheldon Katz |
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Institution: | (1) Department of Physics, SLAC Stanford University, Stanford, CA 94305/94309, USA;(2) Center for Geometry and Theoretical Physics, Duke University, Box 90318, Durham, NC 27708-0318, USA;(3) Departments of Mathematics and Physics, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA |
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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. |
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