Models for the BPS Berry Connection

Abstract

Motivated by the Nahm's construction, in this paper we present a systematic construction of Schrödinger Hamiltonians for a spin-1/2 particle where the Berry connection in the ground-state sector becomes the Bogomolny-Prasad-Sommerfield (BPS) monopole of $SU(2)$ Yang-Mills-Higgs theory. Our construction enjoys a single arbitrary monotonic function, thereby creating infinitely many quantum-mechanical models that simulate the BPS monopole in the space of model parameters.

arXiv comment8 pages; minor corrections

References in corpus (7)

• Higher-Derivative Supersymmetry and the Witten Index
• Second Order Derivative Supersymmetry and Scattering Problem
• Magnetic Monopole Dynamics, Supersymmetry, and Duality
• A Free Particle on a Circle with Point Interaction
• Non-Abelian Berry Phases and BPS Monopoles
• Topological Number of Edge States
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Cited by in corpus (3)

• Non-Abelian tensor Berry connections in multi-band topological systems
• Instantons and Berry's connections on quantum graph
• Correspondence of topological classification between quantum graph extra dimension and topological matter