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Higgs bundles for M-theory on G2-manifolds

Braun, Andreas P.; Cizel, Sebastjan; Hübner, Max; Schäfer-Nameki, Sakura

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Sebastjan Cizel

Max Hübner

Sakura Schäfer-Nameki


M-theory compactified on G2-holonomy manifolds results in 4d N = 1 supersymmetric gauge theories coupled to gravity. In this paper we focus on the gauge sector of such compactifications by studying the Higgs bundle obtained from a partially twisted 7d super Yang-Mills theory on a supersymmetric three-cycle M3. We derive the BPS equations and find the massless spectrum for both abelian and non-abelian gauge groups in 4d. The mathematical tool that allows us to determine the spectrum is Morse theory, and more generally Morse-Bott theory. The latter generalization allows us to make contact with twisted connected sum (TCS) G2-manifolds, which form the largest class of examples of compact G2-manifolds. M-theory on TCS G2-manifolds is known to result in a non-chiral 4d spectrum. We determine the Higgs bundle for this class of G2-manifolds and provide a prescription for how to engineer singular transitions to models that have chiral matter in 4d.


Braun, A. P., Cizel, S., Hübner, M., & Schäfer-Nameki, S. (2019). Higgs bundles for M-theory on G2-manifolds. Journal of High Energy Physics, 2019(3), Article 199.

Journal Article Type Article
Acceptance Date Mar 8, 2019
Online Publication Date Mar 29, 2019
Publication Date Mar 31, 2019
Deposit Date Dec 12, 2019
Publicly Available Date Jan 10, 2020
Journal Journal of High Energy Physics
Print ISSN 1126-6708
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 2019
Issue 3
Article Number 199
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Copyright Statement
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

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