Compact G2 holonomy spaces from SU(3) structures

Andriolo, S.; Shiu, G.; Triendl, H.; Van Riet, T.; Venken, G.; Zoccarato, G.

doi:10.1007/jhep03(2019)059

Title: Compact G2 holonomy spaces from SU(3) structures

Journal Article · Tue Mar 12 00:00:00 EDT 2019 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep03(2019)059· OSTI ID:1612727

Andriolo, S. ^[1]; Shiu, G. ^[2]; Triendl, H. ^[3]; Van Riet, T. ^[4]; Venken, G. ^[4];

^[5]

Hong Kong Univ. of Science and Technology (Hong Kong)
Univ. of Wisconsin, Madison, WI (United States)
Imperial College, London (United Kingdom)
Katholieke Univ. (KU) Leuven (Belgium). Inst. voor Theoretische Fysica
Hong Kong Univ. of Science and Technology (Hong Kong); Univ. of Pennsylvania, Philadelphia, PA (United States)

We construct novel classes of compact G2 spaces from lifting type IIA flux backgrounds with O6 planes. There exists an extension of IIA Calabi-Yau orientifolds for which some of the D6 branes (required to solve the RR tadpole) are dissolved in $$F_2$$ fluxes. The backreaction of these fluxes deforms the Calabi-Yau manifold into a specific class of SU(3)-structure manifolds. The lift to M-theory again defines compact G2 manifolds, which in case of toroidal orbifolds are a twisted generalisation of the Joyce construction. This observation also allows a clear identification of the moduli space of a warped compactification with fluxes. We provide a few explicit examples, of which some can be constructed from T-dualising known IIB orientifolds with fluxes. Finally we discuss supersymmetry breaking in this context and suggest that the purely geometric picture in M-theory could provide a simpler setting to address some of the consistency issues of moduli stabilisation and de Sitter uplifting.

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Research Organization:: Univ. of Wisconsin, Madison, WI (United States)

Sponsoring Organization:: USDOE Office of Science (SC); Engineering and Physical Sciences Research Council (EPSRC); European Research Council (ERC); KULeuven; European Science Foundation HoloGrav Network; Belgian Federal Science Policy Office (BELSPO); Hong Kong Research Grants Council (HKRGC); National Science Foundation (NSF)

Grant/Contract Number:: SC0017647; EP/K034456/1; ERC-2013-CoG 616732 HoloQosmos; G.0.E52.14N; C16/16/005; HUKST4/CRF/13G; 1630441; PHY-1756996

OSTI ID:: 1612727

Journal Information:: Journal of High Energy Physics (Online), Vol. 2019, Issue 3; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 13 works

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D6-branes and torsion Marchesano, Fernando arXiv https://doi.org/10.48550/arxiv.hep-th/0603210	text	January 2006
$G_2$ holonomy metrics and wrapped D6-branes Fayyazuddin, Ansar; Husain, Tasneem Zehra arXiv https://doi.org/10.48550/arxiv.hep-th/0608163	text	January 2006
Deformations of calibrated D-branes in flux generalized complex manifolds Koerber, Paul; Martucci, Luca arXiv https://doi.org/10.48550/arxiv.hep-th/0610044	text	January 2006
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Chiral 4d string vacua with D-branes and NSNS and RR fluxes Cascales, Juan F. G.; Uranga, Angel M. arXiv https://doi.org/10.48550/arxiv.hep-th/0303024	text	January 2003

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