Z_n-Graded Topological Generalizations of Supersymmetry and Orthofermion Algebra
Ali Mostafazadeh
TL;DR
This paper reviews various generalizations of supersymmetry, including parasupersymmetry, fractional supersymmetry, orthosupersymmetry, and Z_n-graded topological symmetries, highlighting their interrelations.
Contribution
It provides a comprehensive overview of different supersymmetry generalizations and explores their connections, emphasizing the Z_n-graded topological symmetries.
Findings
Unified framework for supersymmetry generalizations
Relationships among parasupersymmetry, fractional supersymmetry, and orthosupersymmetry
Insights into Z_n-graded topological symmetries
Abstract
We review various generalizations of supersymmetry and discuss their relationship. In particular, we show how supersymmetry, parasupersymmetry, fractional supersymmetry, orthosupersymmetry, and the Z_n-graded topological symmetries are related.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Quantum Mechanics and Non-Hermitian Physics