Local G2-manifolds, Higgs bundles and a colored quantum mechanics

A bstract 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...

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Bibliographic Details
Published in:The journal of high energy physics 2021-05, Vol.2021 (5), Article 2
Main Author: Hübner, Max
Format: Article
Language:English
Subjects:
Branes
Classical and Quantum Gravitation
Elementary Particles
Gauge theory
High energy physics
Instantons
M theory
Manifolds
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum mechanics
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
String Theory
Supersymmetry
Yang-Mills theory
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Summary:A bstract 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
1029-8479
DOI:10.1007/JHEP05(2021)002