Super Yang-Mills Theory from a Supermatrix Model

Details Super Yang-Mills Theory from a Supermatrix Model Super Yang-Mills Theory from a Supermatrix Model

2005-12-08

arxiv.org/abs/hep-th/0512103v5

Prog.Theor.Phys.116:217-240,2006

Physics

High Energy Physics

High Energy Physics - Theory

24 pages, published version

Scientific paper

10.1143/PTP.116.217

It is known that Yang-Mills theories on non-commutative space can be derived from large-N reduced models. Gauge fields in non-commutative Yang-Mills theories can be described as fluctuations of matrices expanded about an appropriate classical solution of the reduced models. We investigate a generalization of this procedure in superfield formalism. We show that we can construct a supermatrix model such that D=4 $\N=1$ super Yang-Mills theory can be derived from it. In addition, we can couple matter supermatrices to this supermatrix model and also construct models corresponding to $\N=2$ and $\N=4$ super Yang-Mills theories. In these investigations, we need to introduce a new non-anti-commutative superspace, and we investigate the definition of field theories on this space.

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