Supermulticonformal Field Theory

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In this paper we develop the superspace structure of the multicomplex space MCn for n = 2n. We extend the basic properties of the multicomplex analysis to n the case of SMCnN, called supermulticomplex spaces: this goes from the n superanalyticity condition to the residue theorem. The formalism of 2D superconformal field theory is also developed on SMCnN. We then show that the n associated superconformal symmetry is infinite dimensional and leads to n copies of super-Virasoro algebra. This results can be applied to construct a free-field theory on the volume of the (n – 1)-super-brane. A model of field theory describing a bosonic case is also presented.

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