A Proposal for a Non-Perturbative Regularization of {\cal N}=2 SUSY 4D Gauge Theory

Abstract

In this letter we show that supersymmetry like geometry can be approximated using finite dimensional matrix models and fuzzy manifolds. In particular we propose a non-perturbative regularization of {\cal N}=2 supersymmetric U(n) gauge action in 4D. In some planar large N limits we recover exact SUSY together with the smooth geometry of R^4_{theta}.

arXiv comment8 pages

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• Non-perturbative construction of 2D and 4D supersymmetric Yang-Mills theories with 8 supercharges
• On the continuity of the commutative limit of the 4d N=4 non-commutative super Yang-Mills theory
• An anisotropic hybrid non-perturbative formulation for 4D N = 2 supersymmetric Yang-Mills theories