Supersymmetric Monopole Quantum Mechanics on Sphere

Abstract

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. In order to exploit manifest U(1) covariance in the superspace formalism, we introduce a gauge covariant chiral superfield which is annihilated by the gauge covariant superderivative instead of the usual superderivative. We carry out the quantization of the resulting system and compute the quantum mechanical spectrum. We obtain the condition for the spontaneous breaking of supersymmetries explicitely in terms of the monopole charge and a parameter characterizing the operator ordering ambiguity. We find that the supersymmetry is spontaneously broken unless a certain combination of theses quantities satisfies some quantization condition.

11 pages, typeset in Revtex4 format, 1 reference added for Sect 1, some minor corrections

References in corpus (15)

• Supersymmetry and Quantum Mechanics
• Topological Disorder Operators in Three-Dimensional Conformal Field Theory
• Non-commutative World-volume Geometries: Branes on SU(2) and Fuzzy Spheres
• SUSY in the sky
• Topologically nontrivial field configurations in noncommutative geometry
• Fuzzy Complex Projective Spaces and their Star-products
• New Supersymmetry of the Monopole
• Noncommutative Superspace, Supermatrix and Lowest Landau Level
• Conformal and Superconformal Mechanics
• Fuzzy Supersphere and Supermonopole
• On the nature of fermion-monopole supersymmetry
• Nonlinear superconformal symmetry of a fermion in the field of a Dirac monopole
• Supersymmetry-based Approach to Quantum Particle Dynamics
• N=0 Supersymmetry and the Non-Relativistic Monopole
• The supercharge and superconformal symmetry for N=1 supersymmetric quantum mechanics

Cited by in corpus (8)

• A Free N = 2 Supersymmetric System: Novel Symmetries
• N=4 Supersymmetric Quantum Mechanics with Magnetic Monopole
• Generalized N = 2 Super Landau Models
• 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
• BRST invariance and de Rham-type cohomology of 't Hooft-Polyakov monopole
• N= 4 Supersymmetric Quantum Mechanical Model: Novel Symmetries