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

Kazutoshi Ohta, Timothy Hollowood Orcid Logo

Journal of High Energy Physics, Volume: "02", Issue: 02, Pages: 042 - 042

Swansea University Author: Timothy Hollowood Orcid Logo

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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 Hamiltonia...

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Published in: Journal of High Energy Physics
ISSN: 1029-8479
Published: 2004
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa28533
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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
College: Faculty of Science and Engineering
Issue: 02
Start Page: 042
End Page: 042