N=4 Supersymmetric Quantum Mechanics with Magnetic Monopole

Abstract

We propose an N=4 supersymmetric quantum mechanics of a charged particle on a sphere in the background of Dirac magnetic monopole and study the system using the CP(1) model approach. We explicitly calculate the symmetry algebra taking the operator ordering ambiguity into consideration. We find that it is given by the superalgebra SU(1|2)x SU(2). We show that the Hamiltonian can be written in terms of the Casimir invariant of SU(2). Using this relation and the lower bound for angular momentm we obtain the energy spectrum. We then examine the ground energy sector to find that the N=4 supersymmetry is spontaneously broken to N=2 for certain values of the monopole charge.

7 pages

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Cited by in corpus (9)

• Non-Abelian Vortices at Weak and Strong Coupling in Mass Deformed ABJM Theory
• A Free N = 2 Supersymmetric System: Novel Symmetries
• Magnetic monopole bibliography
• Novel symmetries in an interacting N = 2 supersymmetric quantum mechanical model
• A complete solution of a Constrained System: SUSY Monopole Quantum Mechanics
• Isospin particle on $S^2$ with arbitrary number of supersymmetries
• Symmetries of deformed supersymmetric mechanics on Kähler manifolds
• BRST invariance and de Rham-type cohomology of 't Hooft-Polyakov monopole
• N= 4 Supersymmetric Quantum Mechanical Model: Novel Symmetries