Non-Abelian Berry Phase, Instantons and N=(0,4) Supersymmetry
High Energy Physics - Theory
2011-01-10 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1003.4751,
title = {Non-Abelian Berry Phase, Instantons and N=(0,4) Supersymmetry},
author = {João N. Laia},
journal= {arXiv preprint arXiv:1003.4751},
year = {2011}
}
Comments
11 pages