A supersymmetric matrix model: II. Exploring higher-fermion-number sectors

Abstract

Continuing our previous analysis of a supersymmetric quantum-mechanical matrix model, we study in detail the properties of its sectors with fermion number F=2 and 3. We confirm all previous expectations, modulo the appearance, at strong coupling, of {\it two} new bosonic ground states causing a further jump in Witten's index across a previously identified critical 't Hooft coupling ${\lambda }_c$. We are able to elucidate the origin of these new SUSY vacua by considering the $\lambda \to \infty$ limit and a strong coupling expansion around it.

14 pages, 4 figures

References in corpus (2)

• Planar Quantum Mechanics: an Intriguing Supersymmetric Example
• Large N, Supersymmetry ... and QCD

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• Fock space methods and large N
• On the supersymmetric vacua of the Veneziano-Wosiek model