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Compact G2 holonomy spaces from SU(3) structures

Journal Article · · Journal of High Energy Physics (Online)
 [1];  [2];  [3];  [4];  [4];  [5]
  1. Hong Kong Univ. of Science and Technology (Hong Kong); DOE/OSTI
  2. Univ. of Wisconsin, Madison, WI (United States)
  3. Imperial College, London (United Kingdom)
  4. Katholieke Univ. (KU) Leuven (Belgium). Inst. voor Theoretische Fysica
  5. Hong Kong Univ. of Science and Technology (Hong Kong); Univ. of Pennsylvania, Philadelphia, PA (United States)
+ Show Author Affiliations
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.
Research Organization:
Univ. of Wisconsin, Madison, WI (United States)
Sponsoring Organization:
Belgian Federal Science Policy Office (BELSPO); Engineering and Physical Sciences Research Council (EPSRC); European Research Council (ERC); European Science Foundation HoloGrav Network; Hong Kong Research Grants Council (HKRGC); KULeuven; National Science Foundation (NSF); USDOE Office of Science (SC)
Grant/Contract Number:
SC0017647
OSTI ID:
1612727
Journal Information:
Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 3 Vol. 2019; ISSN 1029-8479
Publisher:
Springer BerlinCopyright Statement
Country of Publication:
United States
Language:
English

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Cited By (6)

Mink4 × S2 solutions of 10 and 11 dimensional supergravity journal July 2019
How many fluxes fit in an EFT? journal October 2019
Uplifting anti-D6-brane journal December 2019
T-branes and G 2 backgrounds journal January 2020
Mink$_4\times S^2$ Solutions of 10 and 11 Dimensional Supergravity text January 2018
Uplifting Anti-D6-brane text January 2019

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Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
D-branes
Flux compactifications
Physics
String Duality
Superstring Vacua