Higgs bundles for M-theory on G 2-manifolds

Clicks: 224
ID: 24936
2019
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Abstract
Abstract M-theory compactified on G 2-holonomy manifolds results in 4d N $$ \mathcal{N} $$ = 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 M 3. 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) G 2-manifolds, which form the largest class of examples of compact G 2-manifolds. M-theory on TCS G 2-manifolds is known to result in a non-chiral 4d spectrum. We determine the Higgs bundle for this class of G 2-manifolds and provide a prescription for how to engineer singular transitions to models that have chiral matter in 4d.
Reference Key
braun2019higgsjournal Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Braun, Andreas P.;Cizel, Sebastjan;Hübner, Max;Schäfer-Nameki, Sakura;
Journal journal of high energy physics
Year 2019
DOI
DOI not found
URL
http://link.springer.com/article/10.1007/JHEP03(2019)199
Keywords Keywords not found

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