Topological Symmetries
A. Mostafazadeh, K. Aghababaei Samani

TL;DR
This paper introduces topological symmetries in quantum mechanics, revealing their algebraic structures and deriving supersymmetry and parasupersymmetry algebras through topological invariants.
Contribution
It defines topological symmetries involving topological invariants and derives their algebraic structures, connecting them to supersymmetry and parasupersymmetry.
Findings
Derived algebraic structures of topological symmetries
Connected topological symmetries to supersymmetry
Provided a novel derivation of supersymmetry algebras
Abstract
We introduce the notion of a topological symmetry as a quantum mechanical symmetry involving a certain topological invariant. We obtain the underlying algebraic structure of the Z_2-graded uniform topological symmetries of type (1,1) and (2,1). This leads to a novel derivation of the algebras of supersymmetry and parasupersummetry.
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