Superpotentials for Quiver Gauge Theories

Technical Report · Fri Jun 10 00:00:00 EDT 2005

DOI:https://doi.org/10.2172/890443· OSTI ID:890443

Aspinwall, Paul S; Fidkowski, Lukasz M

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.

• Research Organization: Stanford Linear Accelerator Center (SLAC)
• Sponsoring Organization: USDOE
• DOE Contract Number: AC02-76SF00515
• OSTI ID: 890443
• Report Number(s): SLAC-PUB-11261; hep-th/0506041
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Math and Math Physics
Theory-HEP
HEPTH
MATH
PARTICLE DECAY
POLYNOMIALS
POTENTIALS
UNIFIED GAUGE MODELS