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arXiv · 0808.2387

Simulations of a supersymmetry inspired model on a fuzzy sphere

Wolfgang Bietenholz
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Abstract

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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Wolfgang Bietenholz. 2008-08-18. Simulations of a supersymmetry inspired model on a fuzzy sphere. https://arxiv.org/abs/0808.2387

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