2D fractional supersymmetry for rational conformal field theory: Application for third-integer spin states

  title={2D fractional supersymmetry for rational conformal field theory: Application for third-integer spin states},
  author={A. P{\'e}rez and Michel Rausch de Traubenberg and Pascal Simon},
  journal={Nuclear Physics},

Nontrivial Extensions of the 3D-Poincaré Algebra and Fractional Supersymmetry for Anyons

Nontrivial extensions of three-dimensional Poincare algebra, beyond the supersymmetric one, are explicitly constructed. These algebraic structures are the natural three-dimensional generalizations of

Fractional supersymmetry and Fth-roots of representations

A generalization of super-Lie algebras is presented. It is then shown that all known examples of fractional supersymmetry can be understood in this formulation. However, the incorporation of

Fractional supersymmetry and hierarchy of shape invariant potentials

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

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Fractional Super-Multi-Virasoro Algebra

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Some Results on Cubic and Higher Order Extensions of the Poincare Algebra

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Virasoro algebras with central charge c>1.

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