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Higgs bundles for M-theory on G2-manifolds.

Braun, Andreas P. and Cizel, Sebastjan and Hübner, Max and Schäfer-Nameki, Sakura (2019) 'Higgs bundles for M-theory on G2-manifolds.', Journal of high energy physics., 2019 (3). p. 199.


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.

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Publisher 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.
Date accepted:08 March 2019
Date deposited:10 January 2020
Date of first online publication:29 March 2019
Date first made open access:10 January 2020

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