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arXiv · 0810.1280

Berry Phase and Supersymmetry

Julian Sonner·David Tong
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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.

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Julian Sonner, David Tong. 2009-01-08. Berry Phase and Supersymmetry. https://doi.org/10.1088/1126-6708%2F2009%2F01%2F063

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