Fractional Supersymmetry
arXiv:hep-th/9412133 · doi:10.1142/S021773239500140X
Abstract
A Symmetry between bosonic coordinates and some Grassmannian-type coordinates is presented. Commuting two of these Grassmannian-type variables results in an arbitrary phase (not just a minus sign). This symmetry is also realised at the level of the field theory.
5 pages, Latex
Cited by in corpus (19)
- Group Theoretical Foundations of Fractional Supersymmetry
- Fractional Supersymmetry and Fth-Roots of Representations
- Fractional Supersymmetry and Quantum Mechanics
- 2D Fractional Supersymmetry for Rational Conformal Field Theory. Application for Third-Integer Spin States
- Quantum Mechanical Symmetries and Topological Invariants
- Finite-dimensional Lie algebras of order F
- Fractional supersymmetry and hierarchy of shape invariant potentials
- Statistical Origin of Pseudo-Hermitian Supersymmetry and Pseudo-Hermitian Fermions
- Fractional supersymmetric quantum mechanics, topological invariants and generalized deformed oscillator algebras
- On q-Deformed Supersymmetric Classical Mechanical Models
- Poincaré and sl(2) algebras of order 3
- Two Dimensional Fractional Supersymmetry from the Quantum Poincare Group at Roots of Unity
- On the Representation Theory of Orthofermions and Orthosupersymmetric Realization of Parasupersymmetry and Fractional Supersymmetry
- n=3 Nilpotent differential calculus on some non-commutative (super) spaces
- Z_n^3-graded colored supersymmetry
- On a Z_3-Graded Generalization of the Witten Index
- Fusion rule in conformal field theories and topological orders: A unified view of correspondence and (fractional) supersymmetry and their relation to topological holography
- Fractional Supersymmetry and Infinite Dimensional Lie Algebras
- Some Results on Cubic and Higher Order Extensions of the Poincaré Algebra