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N=4 Supersymmetric Quantum Mechanics with Magnetic Monopole by Soon-Tae Hong; Joohan Lee; Tae Hoon Lee; Phillial Oh is a Physics and Astronomy article available to read on EtoBox.

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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 in the CP(1) model approach. By using the Dirac quantization method, 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) × su(2) rot . We also show that the Hamiltonian can be written in terms of the Casimir invariant of su(2) rot algebra. Using this relation and analyzing the lower bound for angular momentum, we find 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.

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Author

Soon-Tae Hong; Joohan Lee; Tae Hoon Lee; Phillial Oh

Publisher

Elsevier Science; Elsevier ; Elsevier BV (ISSN 0370-2693)

Published

2005

Language

EN

Field

Physics and Astronomy (Physical Sciences)