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zIsospin particle on S2 with arbitrary number of supersymmetries

Title
zIsospin particle on S2 with arbitrary number of supersymmetries
Authors
Hong S.-T.Lee J.Lee T.H.Oh P.
Ewha Authors
홍순태
SCOPUS Author ID
홍순태scopus
Issue Date
2007
Journal Title
Modern Physics Letters A
ISSN
0217-7323JCR Link
Citation
vol. 22, no. 20, pp. 1481 - 1492
Indexed
SCI; SCIE; SCOPUS WOS scopus
Abstract
We study the supersymmetric quantum mechanics of an isospin particle in the background of spherically symmetric Yang-Mills gauge field. We show that on S2 the number of supersymmetries can be made arbitrarily large for a specific choice of the spherically symmetric SU(2) gauge field. However, the symmetry algebra containing the supercharges becomes nonlinear if the number of fermions is greater than two. We present the exact energy spectra and eigenfunctions, which can be written as the product of monopole harmonics and a certain isospin state. We also find that the supersymmetry is spontaneously broken if the number of supersymmetries is even. © World Scientific Publishing Company.
DOI
10.1142/S0217732307023857
Appears in Collections:
사범대학 > 과학교육과 > Journal papers
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