We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
ISOSPIN PARTICLE ON S<sup>2</sup> WITH ARBITRARY NUMBER OF SUPERSYMMETRIES.
- Authors
HONG, SOON-TAE; LEE, JOOHAN; LEE, TAE HOON; OH, PHILLIAL
- 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.
- Subjects
QUANTUM theory; ISOBARIC spin; FERMIONS; PARTICLES (Nuclear physics); EIGENFUNCTIONS; SPECTRUM analysis
- Publication
Modern Physics Letters A, 2007, Vol 22, Issue 20, p1481
- ISSN
0217-7323
- Publication type
Article
- DOI
10.1142/S0217732307023857