Vacua of N=1 Supersymmetric QCD from Spin Chains and Matrix Models
High Energy Physics - Theory
2010-12-03 v1
Abstract
We consider the vacuum structure of the finite N=2 theory with N_f=2N fundamental hypermultiplets broken to N=1 by a superpotential for the adjoint chiral multiplet. We do this in two ways: firstly, by compactification to three dimensions, in which case the effective superpotential is the Hamiltonian of an integrable spin chain. In the second approach, we consider the Dijkgraaf-Vafa holomorphic matrix model. We prove that the two approaches agree as long as the couplings of the two theories are related in a particular way involving an infinite series of instanton terms. The case of gauge group SU(2) with N_f=4 is considered in greater detail.
Keywords
Cite
@article{arxiv.hep-th/0405051,
title = {Vacua of N=1 Supersymmetric QCD from Spin Chains and Matrix Models},
author = {Timothy J. Hollowood and Kazutoshi Ohta},
journal= {arXiv preprint arXiv:hep-th/0405051},
year = {2010}
}
Comments
28 pages, 2 figures