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Computation of Superpotentials for D-Branes

Technical Report ·
DOI:https://doi.org/10.2172/839741· OSTI ID:839741

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.

Research Organization:
Stanford Linear Accelerator Center (SLAC), Menlo Park, CA
Sponsoring Organization:
SC
DOE Contract Number:
AC02-76SF00515
OSTI ID:
839741
Report Number(s):
SLAC-PUB-11020
Country of Publication:
United States
Language:
English

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