On the supersymmetric vacua of the Veneziano-Wosiek model

Details On the supersymmetric vacua of the Veneziano-Wosiek model On the supersymmetric vacua of the Veneziano-Wosiek model

2007-01-24

arxiv.org/abs/hep-th/0701228v1

JHEP 0703:117,2007

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, 2 eps figures

Scientific paper

10.1088/1126-6708/2007/03/117

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.

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