Computation of superpotentials for D-branes

Paul S. Aspinwall, Sheldon Katz

Research output: Contribution to journalArticlepeer-review

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 languageEnglish (US)
Pages (from-to)227-253
Number of pages27
JournalCommunications in Mathematical Physics
Volume264
Issue number1
DOIs
StatePublished - May 2006

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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