Simulations of a supersymmetry inspired model on a fuzzy sphere

Details Simulations of a supersymmetry inspired model on a fuzzy sphere Simulations of a supersymmetry inspired model on a fuzzy sphere

2008-08-18

arxiv.org/abs/0808.2387v1

PoS LAT2007:283,2007

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, 4 figures, contribution to LAT2007 (updated version)

Scientific paper

We present a numerical study of a two dimensional model of the Wess-Zumino type. We formulate this model on a sphere, where the fields are expanded in spherical harmonics. The sphere becomes fuzzy by a truncation in the angular momenta. This leads to a finite set of degrees of freedom without explicitly breaking the space symmetries. The corresponding field theory is expressed in terms of a matrix model, which can be simulated. We present first numerical results for the phase structure of a variant of this model on a fuzzy sphere. The prospect to restore exact supersymmetry in certain limits is under investigation.

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