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Supermulticonformal Field Theory

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Abstract

In this paper we develop the superspacestructure of the multicomplex space MCn forn = 2n. We extend the basic properties of themulticomplex analysis to n the case ofSMCn N, called supermulticomplex spaces: this goes from the n superanalyticitycondition to the residue theorem. The formalism of 2Dsuperconformal field theory is also developed onSMCn N. We then show that the nassociated superconformal symmetry is infinite dimensional and leads ton copies of super-Virasoro algebra. This results can beapplied to construct a free-field theory on the volumeof the (n – 1)-super-brane. A model of field theory describing a bosonic case is alsopresented.

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Authors
  1. A. Ouarab
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  2. E. H. El Kinani
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  3. M. Zakkari
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Ouarab, A., Kinani, E.H.E. & Zakkari, M. Supermulticonformal Field Theory. International Journal of Theoretical Physics 37, 1231–1242 (1998). https://doi.org/10.1023/A:1026671720153

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  • DOI: https://doi.org/10.1023/A:1026671720153

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