Compact G2 holonomy spaces from SU(3) structures

doi:https://doi.org/10.1007/jhep03(2019)059

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:

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)

Publication Date:: 2019-03-12

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.

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                    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

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                    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.

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@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}

}

Copy to clipboard

Journal Article:

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Cited by: 5 works

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Works referenced in this record:

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

Koerber, Paul; Martucci, Luca
Journal of High Energy Physics, Vol. 2006, Issue 12
https://doi.org/10.1088/1126-6708/2006/12/062

BPS domain walls from backreacted orientifolds
journal, May 2014

Blåbäck, Johan; Janssen, Bert; Van Riet, Thomas
Journal of High Energy Physics, Vol. 2014, Issue 5
https://doi.org/10.1007/JHEP05(2014)040

Deformations of calibrated submanifolds
journal, January 1998

McLean, Robert C.
Communications in Analysis and Geometry, Vol. 6, Issue 4
https://doi.org/10.4310/CAG.1998.v6.n4.a4

Supersymmetry breaking by fluxes
journal, October 2018

Sethi, Savdeep
Journal of High Energy Physics, Vol. 2018, Issue 10
https://doi.org/10.1007/JHEP10(2018)022

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

CvetiČ, Mirjam; Shiu, Gary; Uranga, Angel M.
Proceedings of the IX International Conference, Supersymmetry and Unification of Fundamental Interactions
https://doi.org/10.1142/9789812778192_0057

De Sitter hunting in a classical landscape
journal, April 2011

Danielsson, U. H.; Haque, S. S.; Koerber, P.
Fortschritte der Physik, Vol. 59, Issue 9
https://doi.org/10.1002/prop.201100047

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

Klemm, Albrecht; Mariño, Marcos
Communications in Mathematical Physics, Vol. 280, Issue 1
https://doi.org/10.1007/s00220-007-0407-z

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

Koerber, Paul; Martucci, Luca
Journal of High Energy Physics, Vol. 2007, Issue 08
https://doi.org/10.1088/1126-6708/2007/08/059

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

Cvetič, Mirjam; Shiu, Gary; Uranga, Angel M.
Physical Review Letters, Vol. 87, Issue 20
https://doi.org/10.1103/PhysRevLett.87.201801

Lectures on generalized complex geometry for physicists
journal, October 2010

Koerber, P.
Fortschritte der Physik, Vol. 59, Issue 3-4
https://doi.org/10.1002/prop.201000083

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

Danielsson, Ulf; Dibitetto, Giuseppe; Guarino, Adolfo
Journal of High Energy Physics, Vol. 2015, Issue 2
https://doi.org/10.1007/JHEP02(2015)096

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

Larfors, Magdalena; Lüst, Dieter; Tsimpis, Dimitrios
Journal of High Energy Physics, Vol. 2010, Issue 7
https://doi.org/10.1007/JHEP07(2010)073

Smeared versus localised sources in flux compactifications
journal, December 2010

Blåbäck, Johan; Danielsson, Ulf H.; Junghans, Daniel
Journal of High Energy Physics, Vol. 2010, Issue 12
https://doi.org/10.1007/JHEP12(2010)043

Dynamics of warped flux compactifications
journal, June 2008

Shiu, Gary; Underwood, Bret; Torroba, Gonzalo
Journal of High Energy Physics, Vol. 2008, Issue 06
https://doi.org/10.1088/1126-6708/2008/06/024

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

Maldacena, Juan; Seiberg, Nathan
Journal of High Energy Physics, Vol. 2001, Issue 11
https://doi.org/10.1088/1126-6708/2001/11/062

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

Kaste, Peter; Minasian, Ruben; Petrini, Michela
Journal of High Energy Physics, Vol. 2002, Issue 09
https://doi.org/10.1088/1126-6708/2002/09/033

Building MSSM Flux Vacua
journal, November 2004

Marchesano, Fernando; Shiu, Gary
Journal of High Energy Physics, Vol. 2004, Issue 11
https://doi.org/10.1088/1126-6708/2004/11/041

New supersymmetric string compactifications
journal, March 2003

Kachru, Shamit; Schulz, Michael B.; Tripathy, Prasanta K.
Journal of High Energy Physics, Vol. 2003, Issue 03
https://doi.org/10.1088/1126-6708/2003/03/061

Kinetic terms in warped compactifications
journal, May 2009

Douglas, Michael R.; Torroba, Gonzalo
Journal of High Energy Physics, Vol. 2009, Issue 05
https://doi.org/10.1088/1126-6708/2009/05/013

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

Balasubramanian, Vijay; Berglund, Per; Conlon, Joseph P.
Journal of High Energy Physics, Vol. 2005, Issue 03
https://doi.org/10.1088/1126-6708/2005/03/007

MODULI SPACES OF G ₂ MANIFOLDS
journal, October 2010

Grigorian, Sergey
Reviews in Mathematical Physics, Vol. 22, Issue 09
https://doi.org/10.1142/S0129055X10004132

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

Kachru, Shamit; Trivedi, Sandip P.
Fortschritte der Physik, Vol. 67, Issue 1-2
https://doi.org/10.1002/prop.201800086

D6-branes and torsion
journal, May 2006

Marchesano, Fernando
Journal of High Energy Physics, Vol. 2006, Issue 05
https://doi.org/10.1088/1126-6708/2006/05/019

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

Graña, Mariana
Physics Reports, Vol. 423, Issue 3
https://doi.org/10.1016/j.physrep.2005.10.008

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

Dasgupta, Keshav; Rajesh, Govindan; Sethi, Savdeep
Journal of High Energy Physics, Vol. 1999, Issue 08
https://doi.org/10.1088/1126-6708/1999/08/023

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

Koerber, Paul; Tsimpis, Dimitrios
Journal of High Energy Physics, Vol. 2007, Issue 08
https://doi.org/10.1088/1126-6708/2007/08/082

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

Braun, Andreas P.; Schäfer-Nameki, Sakura
Journal of High Energy Physics, Vol. 2018, Issue 4
https://doi.org/10.1007/jhep04(2018)126

Spontaneous breaking of supersymmetry through dimensional reduction
journal, March 1979

Scherk, J.; Schwarz, John H.
Physics Letters B, Vol. 82, Issue 1
https://doi.org/10.1016/0370-2693(79)90425-8

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

Seiberg, Nathan
Physics Letters B, Vol. 384, Issue 1-4
https://doi.org/10.1016/0370-2693(96)00819-2

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

Atiyah, M. F.; Hitchin, N. J.
Physics Letters A, Vol. 107, Issue 1
https://doi.org/10.1016/0375-9601(85)90238-5

How to get masses from extra dimensions
journal, January 1979

Scherk, J.; Schwarz, John H.
Nuclear Physics B, Vol. 153
https://doi.org/10.1016/0550-3213(79)90592-3

Magnetic monopoles in Kaluza-Klein theories
journal, September 1983

Gross, David J.; Perry, Malcolm J.
Nuclear Physics B, Vol. 226, Issue 1
https://doi.org/10.1016/0550-3213(83)90462-5

Classical and quantum dynamics of BPS monopoles
journal, September 1986

Gibbons, G. W.; Manton, N. S.
Nuclear Physics B, Vol. 274, Issue 1
https://doi.org/10.1016/0550-3213(86)90624-3

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

Grimm, Thomas W.; Louis, Jan
Nuclear Physics B, Vol. 718, Issue 1-2
https://doi.org/10.1016/j.nuclphysb.2005.04.007

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

Cvetič, Mirjam; Shiu, Gary; Uranga, Angel M.
Nuclear Physics B, Vol. 615, Issue 1-3
https://doi.org/10.1016/s0550-3213(01)00427-8

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

Dall'Agata, Gianguido; Prezas, Nikolaos
Journal of High Energy Physics, Vol. 2005, Issue 10
https://doi.org/10.1088/1126-6708/2005/10/103

Hierarchies from fluxes in string compactifications
journal, November 2002

Giddings, Steven B.; Kachru, Shamit; Polchinski, Joseph
Physical Review D, Vol. 66, Issue 10
https://doi.org/10.1103/physrevd.66.106006

de Sitter vacua in string theory
journal, August 2003

Kachru, Shamit; Kallosh, Renata; Linde, Andrei
Physical Review D, Vol. 68, Issue 4
https://doi.org/10.1103/physrevd.68.046005

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

Marchesano, Fernando; Shiu, Gary
Physical Review D, Vol. 71, Issue 1
https://doi.org/10.1103/physrevd.71.011701

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

Giddings, Steven B.; Maharana, Anshuman
Physical Review D, Vol. 73, Issue 12
https://doi.org/10.1103/physrevd.73.126003

$G_{2}$ holonomy metrics and wrapped D6-branes
journal, March 2007

Fayyazuddin, Ansar; Husain, Tasneem Zehra
Physical Review D, Vol. 75, Issue 6
https://doi.org/10.1103/physrevd.75.065017

Quantization problem in Scherk-Schwarz compactifications
journal, October 2013

Graña, M.; Minasian, R.; Triendl, H.
Physical Review D, Vol. 88, Issue 8
https://doi.org/10.1103/physrevd.88.085018

Toward de Sitter space from ten dimensions
text, January 2018

Moritz, Jakob; Retolaza, Ander; Westphal, Alexander
Deutsches Elektronen-Synchrotron, DESY, Hamburg
https://doi.org/10.3204/pubdb-2018-01402

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

Joyce, Dominic D.
Journal of Differential Geometry, Vol. 43, Issue 2
https://doi.org/10.4310/jdg/1214458109

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

Joyce, Dominic D.
Journal of Differential Geometry, Vol. 43, Issue 2
https://doi.org/10.4310/jdg/1214458110

Works referencing / citing this record:

Mink4 × S2 solutions of 10 and 11 dimensional supergravity
journal, July 2019

Legramandi, Andrea; Macpherson, Niall T.
Journal of High Energy Physics, Vol. 2019, Issue 7
https://doi.org/10.1007/jhep07(2019)134

How many fluxes fit in an EFT?
journal, October 2019

Lanza, Stefano; Marchesano, Fernando; Martucci, Luca
Journal of High Energy Physics, Vol. 2019, Issue 10
https://doi.org/10.1007/jhep10(2019)110

Uplifting anti-D6-brane
journal, December 2019

Cribiori, Niccolò; Kallosh, Renata; Roupec, Christoph
Journal of High Energy Physics, Vol. 2019, Issue 12
https://doi.org/10.1007/jhep12(2019)171

T-branes and $G_{2}$ backgrounds
journal, January 2020

Barbosa, Rodrigo; Cvetič, Mirjam; Heckman, Jonathan J.
Physical Review D, Vol. 101, Issue 2
https://doi.org/10.1103/physrevd.101.026015

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

Abstract

Citation Formats

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Smeared versus localised sources in flux compactifications journal, December 2010

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

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

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New supersymmetric string compactifications journal, March 2003

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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

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

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
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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
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Dynamics of warped flux compactifications
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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
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New supersymmetric string compactifications
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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
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A Comment on Effective Field Theories of Flux Vacua
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D6-branes and torsion
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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
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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
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Scherk-Schwarz reduction of M-theory on G ₂ -manifolds with fluxes
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Hierarchies from fluxes in string compactifications
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