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 $(L_{-1},L_0,G_{-1/3})$ and $({\bar{L}}_{-1},{\bar{L}}_0,{\bar{G}}_{-1/3})$, the two point functions of the component fields of supermultiplets are calculated.

12 pages, latex, no figures

References in corpus (3)

• Geometrical foundations of fractional supersymmetry
• Local Fractional Supersymmetry for Alternative Statistics
• 2D Fractional Supersymmetry for Rational Conformal Field Theory. Application for Third-Integer Spin States

Cited by in corpus (2)

• Finite-dimensional Lie algebras of order F
• Some Results on Cubic and Higher Order Extensions of the Poincaré Algebra