Skip to main content
SpringerLink
Log in

Heterotic G 2-manifold compactifications with fluxes and fermionic condensates

  • Published:
Journal of High Energy Physics Aims and scope Submit manuscript

Abstract

We consider flux compactifications of heterotic string theory in the presence of fermionic condensates on M 1,2 × X 7 with both factors carrying a Killing spinor. In other words, M 1,2 is either de Sitter, anti-de Sitter or Minkowski, and X 7 possesses a nearly parallel G 2-structure or has G 2-holonomy. We solve the complete set of field equations and the Bianchi identity to order α ′. The latter is satisfied via a non-standard embedding by choosing the gauge field to be a G 2-instanton. It is shown that none of the solutions to the field equations is supersymmetric.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. A. Strominger, Superstrings with Torsion, Nucl. Phys. B 274 (1986) 253 [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  2. G. Lopes Cardoso et al., NonKähler string backgrounds and their five torsion classes, Nucl. Phys. B 652 (2003) 5 [hep-th/0211118] [INSPIRE].

    Article  ADS  Google Scholar 

  3. G. Lopes Cardoso, G. Curio, G. Dall’Agata and D. Lüst, Heterotic string theory on nonKähler manifolds with H flux and gaugino condensate, Fortsch. Phys. 52 (2004) 483 [hep-th/0310021] [INSPIRE].

    Article  ADS  Google Scholar 

  4. A.R. Frey and M. Lippert, AdS strings with torsion: Non-complex heterotic compactifications, Phys. Rev. D 72 (2005) 126001 [hep-th/0507202] [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  5. P. Manousselis, N. Prezas and G. Zoupanos, Supersymmetric compactifications of heterotic strings with fluxes and condensates, Nucl. Phys. B 739 (2006) 85 [hep-th/0511122] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  6. O. Lechtenfeld, C. Nölle and A.D. Popov, Heterotic compactifications on nearly Kähler manifolds, JHEP 09 (2010) 074 [arXiv:1007.0236] [INSPIRE].

    Article  ADS  Google Scholar 

  7. A. Chatzistavrakidis, O. Lechtenfeld and A.D. Popov, Nearly Kähler heterotic compactifications with fermion condensates, JHEP 04 (2012) 114 [arXiv:1202.1278] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  8. E. Bergshoeff, M. de Roo, B. de Wit and P. van Nieuwenhuizen, Ten-Dimensional Maxwell-Einstein Supergravity, Its Currents and the Issue of Its Auxiliary Fields, Nucl. Phys. B 195 (1982) 97 [INSPIRE].

    Article  ADS  Google Scholar 

  9. G. Chapline and N. Manton, Unification of Yang-Mills Theory and Supergravity in Ten-Dimensions, Phys. Lett. B 120 (1983) 105 [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  10. E. Bergshoeff and M. de Roo, The quartic effective action of the heterotic string and supersymmetry, Nucl. Phys. B 328 (1989) 439 [INSPIRE].

    Article  ADS  Google Scholar 

  11. M. Fernández and A. Gray, Riemannian manifolds with structure group G 2, Annali Mat. Pura Appl. 132 (1982) 19.

    Article  MATH  Google Scholar 

  12. T. Friedrich, I. Kath, A. Moroianu and U. Semmelmann, On nearly parallel G 2 -structures, J. Geom. Phys. 23 (1997) 259.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  13. R.L. Bryant, Some remarks on G 2 -structures, in Proceedings of Gökova Geometry-Topology Conference 2005, Gökova Bay Turkey (2005), T.O.S. Akbulut and R. Stern eds., International Press, Boston U.S.A. (2006), pg. 75.

  14. K. Becker and S. Sethi, Torsional Heterotic Geometries, Nucl. Phys. B 820 (2009) 1 [arXiv:0903.3769] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  15. S. Ivanov, Heterotic supersymmetry, anomaly cancellation and equations of motion, Phys. Lett. B 685 (2010) 190 [arXiv:0908.2927] [INSPIRE].

    Article  ADS  Google Scholar 

  16. A. Bilal, J.-P. Derendinger and K. Sfetsos, (Weak) G 2 holonomy from selfduality, flux and supersymmetry, Nucl. Phys. B 628 (2002) 112 [hep-th/0111274] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institut für Theoretische Physik, Leibniz Universität Hannover, Appelstraße 2, 30167, Hannover, Germany

    Karl-Philip Gemmer & Olaf Lechtenfeld

  2. Riemann Center for Geometry and Physics, Leibniz Universität Hannover, Appelstraße 2, 30167, Hannover, Germany

    Olaf Lechtenfeld

Authors
  1. Karl-Philip Gemmer
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Olaf Lechtenfeld
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Olaf Lechtenfeld.

Additional information

ArXiv ePrint: 1308.1955

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gemmer, KP., Lechtenfeld, O. Heterotic G 2-manifold compactifications with fluxes and fermionic condensates. J. High Energ. Phys. 2013, 182 (2013). https://doi.org/10.1007/JHEP11(2013)182

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/JHEP11(2013)182

Keywords

Search

Navigation