Two dimensional fractional supersymmetric conformal field theories and the two point functions

Abstract

A general two dimensional fractional supersymmetric conformal field theory is investigated. The structure of the symmetries of the theory is studied. Then, applying the generators of the closed subalgebra generated by (L-1, L0, G-1/3) and (L-1, L0, G-1/3), the two point functions of the component fields of supermultiplets are calculated.

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