Berry Phase and Supersymmetry

Details Berry Phase and Supersymmetry Berry Phase and Supersymmetry

2008-10-08

arxiv.org/abs/0810.1280v3

JHEP 0901:063,2009

Physics

High Energy Physics

High Energy Physics - Theory

10 pages. v2 and v3: typos fixed

Scientific paper

10.1088/1126-6708/2009/01/063

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.

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