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Exploring SU(3) structure moduli spaces with integrable G(2) structures
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.
Univ Paris 06, Univ Paris 04, Inst Lagrange Paris, LPTHE, F-75005 Paris, France..
2015 (English)In: Advances in Theoretical and Mathematical Physics, ISSN 1095-0761, E-ISSN 1095-0753, Vol. 19, no 4, 837-903 p.Article in journal (Refereed) Published
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Text
Abstract [en]

We study the moduli space of SU(3) structure manifolds X that form the internal compact spaces in four-dimensional N = 1/2 domain wall solutions of heterotic supergravity with flux. Together with the direction perpendicular to the four-dimensional domain wall, X forms a non-compact 7-manifold Y with torsionful G(2) structure. We use this G(2) embedding to explore how X(t) varies along paths C(t) in the SU(3) structure moduli space. Our analysis includes the Bianchi identities which strongly constrain the flow. We show that requiring that the SU(3) structure torsion is preserved along the path leads to constraints on the G(2) torsion and the embedding of X in Y. Furthermore, we study flows along which the torsion classes of X go from zero to non-zero values. In particular, we present evidence that the flow of half-flat SU(3) structures may contain Calabi-Yau loci, in the presence of non-vanishing H-flux.

Place, publisher, year, edition, pages
2015. Vol. 19, no 4, 837-903 p.
National Category
Physical Sciences Mathematics
Identifiers
URN: urn:nbn:se:uu:diva-280122ISI: 000368916600005OAI: oai:DiVA.org:uu-280122DiVA: diva2:910060
Funder
Swedish Research Council, 623-2011-7205
Available from: 2016-03-08 Created: 2016-03-08 Last updated: 2017-11-30Bibliographically approved

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Larfors, Magdalena

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