On the supersymmetric vacua of the Veneziano-Wosiek model
arXiv:hep-th/0701228 · doi:10.1088/1126-6708/2007/03/117
Abstract
We study the supersymmetric vacua of the Veneziano-Wosiek model in sectors with fermion number F=2, 4 at finite 't Hooft coupling lambda. We prove that for F=2 there are two zero energy vacua for lambda > lambda_c = 1 and none otherwise. We give the analytical expressions of both vacua. One of them was previously known, the second one is obtained by solving the cohomology of the supersymmetric charges. At F=4 we compute the would-be supersymmetric vacua at high order in the the strong coupling expansion and provide strong support to the conclusion that lambda = 1 is a critical point in this sector too. It separates a strong coupling phase with two symmetric vacua from a weak coupling phase with positive spectrum.
17 pages, 2 eps figures
References in corpus (5)
- A supersymmetric matrix model: III. Hidden SUSY in statistical systems
- Planar Quantum Mechanics: an Intriguing Supersymmetric Example
- A supersymmetric matrix model: II. Exploring higher-fermion-number sectors
- The planar spectrum in U(N)-invariant quantum mechanics by Fock space methods: I. The bosonic case
- Supersymmetry on Jacobstahl lattices