The Geometric Phase in Supersymmetric Quantum Mechanics
| dc.creator | Pedder, Chris | |
| dc.creator | Sonner, Julian | |
| dc.creator | Tong, David | |
| dc.date | 2007-09-06 | |
| dc.date | 2008-10-30 | |
| dc.date.accessioned | 2026-07-07T11:19:08Z | |
| dc.date.available | 2026-07-07T11:19:08Z | |
| dc.description | We explore the geometric phase in N=(2,2) supersymmetric quantum mechanics. The Witten index ensures the existence of degenerate ground states, resulting in a non-Abelian Berry connection. We exhibit a non-renormalization theorem which prohibits the connection from receiving perturbative corrections. However, we show that it does receive corrections from BPS instantons. We compute the one-instanton contribution to the Berry connection for the massive CP^1 sigma-model as the potential is varied. This system has two ground states and the associated Berry connection is the smooth SU(2) 't Hooft-Polyakov monopole. | |
| dc.description | 28 pages, 2 figures, references added. v2: clarification of possible corrections to Abelian Berry phase. v3: footnotes added to point the reader towards later developments | |
| dc.identifier | https://arxiv.org/abs/0709.0731 | |
| dc.identifier | http://arxiv.org/abs/0709.0731 | |
| dc.identifier | Phys.Rev.D77:025009,2008 | |
| dc.identifier | doi:10.1103/PhysRevD.77.025009 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/193579 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | The Geometric Phase in Supersymmetric Quantum Mechanics | |
| dc.type | text |