Super Yang-Mills Theory from a Supermatrix Model(Particles and Fields)
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概要
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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 super field 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.
- 一般社団法人日本物理学会の論文
- 2006-07-25