Supersymmetric monopole quantum mechanics on a sphere
- Department of Science Education, Ewha Womans University, Seoul 120-750 (Korea, Republic of)
- Department of Physics, University of Seoul, Seoul 130-743 (Korea, Republic of)
- Department of Physics, Soongsil University, Seoul 156-743 (Korea, Republic of)
- Department of Physics and Institute of Basic Science, Sungkyunkwan University, Suwon 440-746 (Korea, Republic of)
We study N=2 supersymmetric quantum mechanics of a charged particle on sphere in the background of Dirac magnetic monopole. We adopt CP(1) model approach in which the monopole interaction is free of singularity. It turns out that this approach admits a compact N=2 superspace formulation. In order to exploit manifest U(1) covariance in the superspace formalism, we introduce a gauged chiral superfield which is annihilated by the gauge covariant superderivative instead of the usual superderivative. We carry out the Dirac quantization of the resulting system and compute the quantum mechanical spectrum. We obtain the condition for the spontaneous breaking of supersymmetry explicitly in terms of the monopole charge and a parameter which characterizes the operator ordering ambiguity. We find that the supersymmetry is spontaneously broken unless a certain combination of these quantities satisfies some quantization condition.
- OSTI ID:
- 20711069
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 72, Issue 1; Other Information: DOI: 10.1103/PhysRevD.72.015002; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
Similar Records
A superspace formulation of Yang-Mills theory on sphere
Duality symmetric quantization of superstrings