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The Infinitesimal Moduli Space of Heterotic G2 Systems
Univ Oxford, Math Inst, Andrew Wiles Bldg,Woodstock Rd, Oxford OX2 6GG, England.
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.
Sorbonne Univ, UPMC Paris 06, LPTHE, UMR 7589, F-75005 Paris, France;Sorbonne Univ, Inst Lagrange Paris, 98 Bis Bd Arago, F-75014 Paris, France.
2018 (English)In: Communications in Mathematical Physics, ISSN 0010-3616, E-ISSN 1432-0916, Vol. 360, no 2, p. 727-775Article in journal (Refereed) Published
Abstract [en]

Heterotic string compactifications on integrable G(2) structure manifolds Y with instanton bundles (V, A), (TY, (theta) over tilde )yield supersymmetric three-dimensional vacua that are of interest in physics. In this paper, we define a covariant exterior derivative D and show that it is equivalent to a heterotic G(2) system encoding the geometry of the heterotic string compactifications. This operator D acts on a bundle Q = T*Y circle plus End (V) circle plus End (TY) and satisfies a nilpotency condition (sic)(2) = 0, for an appropriate projection of D. Furthermore, we determine the infinitesimal moduli space of these systems and show that it corresponds to the finite-dimensional cohomology group (sic)(1)((sic)) (Q). We comment on the similarities and differences of our result with Atiyah's well-known analysis of deformations of holmorphic vector bundles over complex manifolds. Our analysis leads to results that are of relevance to all orders in the alpha' expansion.

Place, publisher, year, edition, pages
2018. Vol. 360, no 2, p. 727-775
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Subatomic Physics Other Physics Topics
Identifiers
URN: urn:nbn:se:uu:diva-356865DOI: 10.1007/s00220-017-3013-8ISI: 000431873000009OAI: oai:DiVA.org:uu-356865DiVA, id: diva2:1237671
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Swedish Research Council, 2016-03873Available from: 2018-08-09 Created: 2018-08-09 Last updated: 2018-08-09Bibliographically approved

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Larfors, Magdalena

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