Berry Phase and Supersymmetry
High Energy Physics - Theory
2009-01-30 v3 Quantum Physics
Abstract
We study the constraints of supersymmetry on the non-Abelian holonomy given by U=P exp(i\int A), the path-ordered exponential of a connection A. For theories with four supercharges, we show that A satisfies the tt* equations if it is a function of chiral multiplets. In contrast, when A is a function of vector multiplets, it satisfies the Bogomolnyi monopole equations. We describe applications of these results to the Berry connection in supersymmetric quantum mechanics.
Keywords
Cite
@article{arxiv.0810.1280,
title = {Berry Phase and Supersymmetry},
author = {Julian Sonner and David Tong},
journal= {arXiv preprint arXiv:0810.1280},
year = {2009}
}
Comments
10 pages. v2 and v3: typos fixed