论文标题
本地$ g_2 $ - manifolds，higgs捆绑包和彩色量子力学
Local $G_2$-Manifolds, Higgs Bundles and a Colored Quantum Mechanics
论文作者
论文摘要
本地$ G_2 $ - MANIFOLDS工程师4D的Manifolds工程师4D的理论4D超对称仪表理论。我们考虑了ALE纤维$ G_2 $ -Manifolds，并从部分扭曲的7D超对称Yang-Mills理论及其Higgs捆绑包中研究4D物理学。 Euclidean M2-Brane Instantons降低了7D超对称Yang-Mills理论的非扰动效应，发现与有色超对称量子力学的intsantons一对一地对应。我们通过在彩色量子力学中的定位来计算有效的7D描述中M2-Brane Instants对4D超电势的贡献。此外，我们考虑了非切割的希格斯捆绑包并分析其4D频谱。
M-theory on local $G_2$-manifolds engineers 4d minimally supersymmetric gauge theories. We consider ALE-fibered $G_2$-manifolds and study the 4d physics from the view point of a partially twisted 7d supersymmetric Yang-Mills theory and its Higgs bundle. Euclidean M2-brane instantons descend to non-perturbative effects of the 7d supersymmetric Yang-Mills theory, which are found to be in one to one correspondence with the instantons of a colored supersymmetric quantum mechanics. We compute the contributions of M2-brane instantons to the 4d superpotential in the effective 7d description via localization in the colored quantum mechanics. Further we consider non-split Higgs bundles and analyze their 4d spectrum.
