Superpotentials for Quiver Gauge Theories

Details Superpotentials for Quiver Gauge Theories Superpotentials for Quiver Gauge Theories

2005-06-03

arxiv.org/abs/hep-th/0506041v1

JHEP 0610:047,2006

Physics

High Energy Physics

High Energy Physics - Theory

25 pages, LaTeX2e, xypic

Scientific paper

10.1088/1126-6708/2006/10/047

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-infinity 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 Ext2's of the quiver and that each such Ext2 multiplies a polynomial in Ext1's equal to precisely the relation represented by the Ext2.

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