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arXiv · hep-th/0405051

Vacua of N=1 Supersymmetric QCD from Spin Chains and Matrix Models

Timothy J. Hollowood·Kazutoshi Ohta
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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.

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Timothy J. Hollowood, Kazutoshi Ohta. 2004-05-07. Vacua of N=1 Supersymmetric QCD from Spin Chains and Matrix Models. https://doi.org/10.1088/1126-6708%2F2005%2F02%2F042

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