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Prog. Theor. Phys. Vol. 116 No. 1 (2006) pp. 217-240

[ Full Text PDF : FREE ACCESS (241K) ]

Super Yang-Mills Theory from a Supermatrix Model

Takeshi Morita*

Theory Group, KEK, Tsukuba 305-0801, Japan

(Received April 30, 2006)

Abstract:

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.


URL : http://ptp.ipap.jp/link?PTP/116/217/
DOI : 10.1143/PTP.116.217


*E-mail: tmorita@post.kek.jp

[ Full Text PDF : FREE ACCESS (241K) ] Citation:

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