Non-Abelian Berry Phase, Instantons and N=(0,4) Supersymmetry

Details Non-Abelian Berry Phase, Instantons and N=(0,4) Supersymmetry Non-Abelian Berry Phase, Instantons and N=(0,4) Supersymmetry

2010-03-24

arxiv.org/abs/1003.4751v1

J. Math. Phys. 51, 122308 (2010)

Physics

High Energy Physics

High Energy Physics - Theory

11 pages

Scientific paper

10.1063/1.3521497

In supersymmetric quantum mechanics, the non-Abelian Berry phase is known to obey certain differential equations. Here we study N=(0,4) systems and show that the non-Abelian Berry connection over R^{4n} satisfies a generalization of the self-dual Yang-Mills equations. Upon dimensional reduction, these become the tt* equations. We further study the Berry connection in N=(4,4) theories and show that the curvature is covariantly constant.

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