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arXiv 1003.4751hep-th
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非阿贝尔Berry相位、瞬子和N=(0,4)超对称性

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

João N. Laia

摘要:

在超对称量子力学中,已知非阿贝尔贝瑞相位服从某些微分方程。本文研究了N=(0,4)系统,证明了R^{4 n}上的非Abel Berry联络满足自对偶Yang-Mills方程的推广.在降维后,这些变成tt* 方程。进一步研究了N=(4,4)理论中的Berry联络,证明了其曲率是协变常数.

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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