Computation of superpotentials for D-branes - INSPIRE

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Computation of superpotentials for D-branes

Paul S. Aspinwall
(
- Stanford U., Phys. Dept. and
- SLAC and
- Duke U., CGTP
)
,
Sheldon H. Katz
(
- Illinois U., Urbana, Math. Dept.
)

Dec, 2004

29 pages

Published in:

Commun.Math.Phys. 264 (2006) 227-253

e-Print:

hep-th/0412209 [hep-th]

DOI:

10.1007/s00220-006-1527-6

Report number:

SLAC-PUB-11020,
SU-ITP-04-43,
DUKE-CGTP-04-11,
ILL-TH-04-7,
ILL-(TH)-04-7

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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-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.

Note:

28 pages

membrane model: D-brane
superpotential
gauge field theory: quiver
Chern-Simons term
category
conifold

References(39)

Figures(0)

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