Models for the BPS Berry connection

Motivated by the Nahm's construction, in this paper, we present a systematic construction of Schrodinger 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.

Automated summary

Motivated by Nahm's construction, this paper presents a systematic method for constructing Schrodinger 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. The construction involves a single arbitrary monotonic function, creating infinitely many quantum-mechanical models that simulate the BPS monopole in the space of model parameters.