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Superpotentials for quiver gauge theories

Paul S. Aspinwall1,2,3 and Lukasz M. Fidkowski1

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We compute superpotentials for quiver gauge theories arising from marginal D-Brane decay on collapsed del Pezzo cycles S in a Calabi-Yau X. This is done using the machinery of A products in the derived category of coherent sheaves of X, which in turn is related to the derived category of S and quiver path algebras. We confirm that the superpotential is what one might have guessed from analyzing the moduli space, i.e., it is linear in the fields corresponding to the Ext2s of the quiver and that each such Ext2 multiplies a polynomial in Ext1s equal to precisely the relation represented by the Ext2.

Keywords

Differential and Algebraic Geometry

D-branes

 

E-print Number: hep-th/0506041

Cited: by |

Refers: to

PACS

11.15.-q Gauge field theories

02.40.-k Geometry, differential geometry, and topology

11.25.Uv D branes

Subjects

Mathematical physics

Particle physics and field theory

Dates

Issue 10 (October 2006)

Received 16 August 2006, accepted for publication 15 September 2006

Published 17 October 2006



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