Local $G_2$-Manifolds, Higgs Bundles and a Colored Quantum Mechanics
High Energy Physics - Theory
2021-05-19 v2
Abstract
M-theory on local -manifolds engineers 4d minimally supersymmetric gauge theories. We consider ALE-fibered -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.
Keywords
Cite
@article{arxiv.2009.07136,
title = {Local $G_2$-Manifolds, Higgs Bundles and a Colored Quantum Mechanics},
author = {Max Hubner},
journal= {arXiv preprint arXiv:2009.07136},
year = {2021}
}
Comments
70 pages, 16 figures, JHEP version