Superpotentials for Quiver Gauge Theories

Aspinwall, Paul S. ; /Stanford U., Phys. Dept. /SLAC /Duke U., CGTP ; Fidkowski, Lukasz M. ; /Stanford U., Phys. Dept.

Stanford Linear Accelerator Center

关键词: Unified Gauge Models;    Particle Decay;    Polynomials Math And Math Physics, Theory-Hep,Hepth, Math;    72 Physics Of Elementary Particles And Fields;    Potentials;   

DOI  :  10.2172/890443
RP-ID  :  SLAC-PUB-11261
RP-ID  :  AC02-76SF00515
RP-ID  :  890443

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来源: UNT Digital Library

【 摘 要 】

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{sub {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 Exts of the quiver and that each such Ext multiplies a polynomial in Exts equal to precisely the relation represented by the Ext.