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Infinitely many M2-instanton corrections to M-theory on G(2)-manifolds
Univ Oxford, Math Inst, Woodstock Rd, Oxford OX2 6GG, England.
SUNY Stony Brook, Simons Ctr Geometry & Phys, Stony Brook, NY 11794 USA.
Northeastern Univ, Dept Phys, Boston, MA 02115 USA.
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.
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2018 (English)In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 9, article id 077Article in journal (Refereed) Published
Abstract [en]

We consider the non-perturbative superpotential for a class of four-dimensional N = 1 vacua obtained from M-theory on seven-manifolds with holonomy G(2). The class of G(2)-holonomy manifolds we consider are so-called twisted connected sum (TCS) constructions, which have the topology of a K3-fibration over S-3. We show that the non-perturbative superpotential of M-theory on a class of TCS geometries receives infinitely many inequivalent M2-instanton contributions from infinitely many three-spheres, which we conjecture are supersymmetric (and thus associative) cycles. The rationale for our construction is provided by the duality chain of [1], which relates M-theory on TCS G(2) manifolds to E-8 x E-8 heterotic backgrounds on the Schoen Calabi-Yau threefold, as well as to F-theory on a K3-fibered Calabi-Yau fourfold. The latter are known to have an infinite number of instanton corrections to the superpotential and it is these contributions that we trace through the duality chain back to the G(2)-compactification.

Place, publisher, year, edition, pages
SPRINGER , 2018. no 9, article id 077
Keywords [en]
Differential and Algebraic Geometry, String Duality, F-Theory, M-Theory
National Category
Other Physics Topics Geometry
Identifiers
URN: urn:nbn:se:uu:diva-366742DOI: 10.1007/JHEP09(2018)077ISI: 000444680100012OAI: oai:DiVA.org:uu-366742DiVA, id: diva2:1269372
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EU, European Research Council, 682608Swedish Research Council, 2016-03873Available from: 2018-12-10 Created: 2018-12-10 Last updated: 2018-12-10Bibliographically approved

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Larfors, Magdalena

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