Extended Supersymmetric Quantum Mechanics
V. Akulov, M. Kudinov (Baruch College of the City University of New, York)
TL;DR
This paper generalizes the Hamiltonian parametrization of supersymmetric quantum mechanics for any number of supersymmetries N, extending the Witten model and discussing potential applications of this formalism.
Contribution
It introduces a unified parametrization of the SUSY QM Hamiltonian for arbitrary N, expanding the Witten model and its conformal extensions.
Findings
Unified Hamiltonian parametrization for any N
Extension of N=1 and 2 conformal SUSY QM to arbitrary N
Discussion of potential applications of the formalism
Abstract
A parametrization of the Hamiltonian of the generalized Witten model of the SUSY QM by a single arbitrary function in d=1 has been obtained for an arbitrary number of the supersymmetries N. Possible applications of this formalism have been discussed. It has been shown that the N=1 and 2 conformal SUSY QM is generalized for any N.
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