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Berry Phase and Supersymmetry · Around

2008

Berry Phase and Supersymmetry

Sonner, Julian, Tong, David

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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.

Built on

E. B. Bogomoln’yi, ”
1976
Earlier work this paper cites.
J. Bagger and E. Witten, “
Original
1982
Earlier work this paper cites.
L. Alvarez-Gaume and D. Z. Freedman, “
1983
Earlier work this paper cites.
M. V. Berry, “
1984
Earlier work this paper cites.
F. Wilczek and A. Zee, “
1984
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