skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

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

Abstract

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.

Authors:
 [1];  [2];  [3];  [4];  [4]; ORCiD logo [5]
  1. Hong Kong Univ. of Science and Technology (Hong Kong)
  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)
Publication Date:
Research Org.:
Univ. of Wisconsin, Madison, WI (United States)
Sponsoring Org.:
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)
OSTI Identifier:
1612727
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
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Volume: 2019; Journal Issue: 3; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Physics; Flux compactifications; String Duality; Superstring Vacua; D-branes

Citation Formats

Andriolo, S., Shiu, G., Triendl, H., Van Riet, T., Venken, G., and Zoccarato, G. Compact G2 holonomy spaces from SU(3) structures. United States: N. p., 2019. Web. doi:10.1007/jhep03(2019)059.
Andriolo, S., Shiu, G., Triendl, H., Van Riet, T., Venken, G., & Zoccarato, G. Compact G2 holonomy spaces from SU(3) structures. United States. https://doi.org/10.1007/jhep03(2019)059
Andriolo, S., Shiu, G., Triendl, H., Van Riet, T., Venken, G., and Zoccarato, G. Tue . "Compact G2 holonomy spaces from SU(3) structures". United States. https://doi.org/10.1007/jhep03(2019)059. https://www.osti.gov/servlets/purl/1612727.
@article{osti_1612727,
title = {Compact G2 holonomy spaces from SU(3) structures},
author = {Andriolo, S. and Shiu, G. and Triendl, H. and Van Riet, T. and Venken, G. and Zoccarato, G.},
abstractNote = {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.},
doi = {10.1007/jhep03(2019)059},
url = {https://www.osti.gov/biblio/1612727}, journal = {Journal of High Energy Physics (Online)},
issn = {1029-8479},
number = 3,
volume = 2019,
place = {United States},
year = {2019},
month = {3}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 5 works
Citation information provided by
Web of Science

Works referenced in this record:

Deformations of calibrated D-branes in flux generalized complex manifolds
journal, December 2006


BPS domain walls from backreacted orientifolds
journal, May 2014


Deformations of calibrated submanifolds
journal, January 1998


Supersymmetry breaking by fluxes
journal, October 2018


CHIRAL TYPE II ORIENTIFOLD CONSTRUCTIONS AS M THEORY ON G 2 HOLONOMY SPACES
conference, November 2011


De Sitter hunting in a classical landscape
journal, April 2011


Counting BPS States on the Enriques Calabi-Yau
journal, March 2008


From ten to four and back again: how to generalize the geometry
journal, August 2007


Three-Family Supersymmetric Standardlike Models from Intersecting Brane Worlds
journal, October 2001


Lectures on generalized complex geometry for physicists
journal, October 2010


KK-monopoles and G-structures in M-theory/type IIA reductions
journal, February 2015


Flux compactification on smooth, compact three-dimensional toric varieties
journal, July 2010


Smeared versus localised sources in flux compactifications
journal, December 2010


Dynamics of warped flux compactifications
journal, June 2008


D-Brane Instantons and K-Theory Charges
journal, November 2001


Kaluza-Klein bundles and manifolds of exceptional holonomy
journal, September 2002


Building MSSM Flux Vacua
journal, November 2004


New supersymmetric string compactifications
journal, March 2003


Kinetic terms in warped compactifications
journal, May 2009


Systematics of Moduli Stabilisation in Calabi-Yau Flux Compactifications
journal, March 2005


MODULI SPACES OF G 2 MANIFOLDS
journal, October 2010


A Comment on Effective Field Theories of Flux Vacua
journal, December 2018


D6-branes and torsion
journal, May 2006


Flux compactifications in string theory: A comprehensive review
journal, January 2006


M-theory, orientifolds and G-flux
journal, August 1999


Supersymmetric sources, integrability and generalized-structure compactifications
journal, August 2007


Compact, singular G2-holonomy manifolds and M/heterotic/F-theory duality
journal, April 2018


Spontaneous breaking of supersymmetry through dimensional reduction
journal, March 1979


IR dynamics on branes and space-time geometry
journal, September 1996


Low energy scattering of non-Abelian monopoles
journal, January 1985


How to get masses from extra dimensions
journal, January 1979


Magnetic monopoles in Kaluza-Klein theories
journal, September 1983


Classical and quantum dynamics of BPS monopoles
journal, September 1986


The effective action of type IIA Calabi–Yau orientifolds
journal, July 2005


Chiral four-dimensional N=1 supersymmetric type IIA orientifolds from intersecting D6-branes
journal, November 2001


Scherk-Schwarz reduction of M-theory on G 2 -manifolds with fluxes
journal, October 2005


Hierarchies from fluxes in string compactifications
journal, November 2002


de Sitter vacua in string theory
journal, August 2003


Minimal supersymmetric standard model string vacua from flux compactifications
journal, January 2005


Dynamics of warped compactifications and the shape of the warped landscape
journal, June 2006


G 2 holonomy metrics and wrapped D6-branes
journal, March 2007


Quantization problem in Scherk-Schwarz compactifications
journal, October 2013


Toward de Sitter space from ten dimensions
text, January 2018


Compact Riemannian 7-manifolds with holonomy $G_2$. I
journal, January 1996


Compact Riemannian 7-manifolds with holonomy $G\sb 2$. II
journal, January 1996


    Works referencing / citing this record:

    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