Topological Symmetries

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 $p=2$ parasupersummetry.

Plain LaTeX Ref: Mod. Phys. Lett. A 15, 175-184 (2000)

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• Quantum Mechanical Symmetries and Topological Invariants
• On the Statistical Origin of Topological Symmetries
• Parasupersymmetry and N-fold Supersymmetry in Quantum Many-Body Systems I. General Formalism and Second Order
• Reducibility and bosonization of parasupersymmetric and orthosupersymmetric quantum mechanics
• Solution of Second Order Supersymmetrical Intertwining Relations in Minkowski Plane