Local G 2-manifolds, Higgs bundles and a colored quantum mechanics

Abstract 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...

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Bibliographic Details
Published in:The journal of high energy physics 2021-05, Vol.2021 (5), p.1-61
Main Author: Max Hübner
Format: Article
Language:English
Subjects:
M-Theory
Nonperturbative Effects
Sigma Models
Supersymmetric Gauge Theory
Online Access:Get full text
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Summary:Abstract 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.
ISSN:1029-8479
DOI:10.1007/JHEP05(2021)002