- Physical Review Journals
All JournalsPhysics Magazine
Access Provided by Xinjiang University

Physical Review D

Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Embedding tensor of Scherk-Schwarz flux compactifications from eleven dimensions

Hadi Godazgar1,*, Mahdi Godazgar1,†, and Hermann Nicolai2,‡

  • 1DAMTP, Centre for Mathematical Sciences, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, United Kingdom
  • 2Max-Planck-Institut für Gravitationsphysik, Albert-Einstein-Institut, Am Mühlenberg 1, D-14476 Potsdam, Germany

  • *H.M.Godazgar@damtp.cam.ac.uk
  • †M.M.Godazgar@damtp.cam.ac.uk
  • ‡Hermann.Nicolai@aei.mpg.de
PDF

Phys. Rev. D 89, 045009 – Published 18 February, 2014

DOI: https://doi.org/10.1103/PhysRevD.89.045009

Abstract

We study the Scherk-Schwarz reduction of D=11 supergravity with background fluxes in the context of a recently developed framework pertaining to D=11 supergravity. We derive the embedding tensor of the associated four-dimensional maximal gauged theories directly from eleven dimensions by exploiting the generalized vielbein postulates, and by analyzing the couplings of the full set of 56 electric and magnetic gauge fields to the generalized vielbeine. The treatment presented here will apply more generally to other reductions of D=11 supergravity to maximal gauged theories in four dimensions.

View figure in article

Article Text

References (44)

  1. H. Godazgar, M. Godazgar, and H. Nicolai, arXiv:1307.8295 [J. High Energy Phys. (to be published)].
  2. E. Cremmer, B. Julia, and J. Scherk, Phys. Lett. 76B, 409 (1978).
  3. E. Cremmer and B. Julia, Phys. Lett. 80B, 48 (1978).
  4. B. de Wit and H. Nicolai, Nucl. Phys. B274, 363 (1986).
  5. B. de Wit and H. Nicolai, J. High Energy Phys. 05 (2013) 077.
  6. H. Nicolai, Phys. Lett. B 187, 316 (1987).
  7. K. Koepsell, H. Nicolai, and H. Samtleben, Classical Quantum Gravity 17, 3689 (2000).
  8. D. S. Berman and D. C. Thompson, arXiv:1306.2643.
  9. O. Hohm and H. Samtleben, arXiv:1312.0614.
  10. B. de Wit, H. Nicolai, and N. P. Warner, Nucl. Phys. B255, 29 (1985).
  11. B. de Wit and H. Nicolai, Nucl. Phys. B281, 211 (1987).
  12. H. Nicolai and K. Pilch, J. High Energy Phys. 03 (2012) 099.
  13. M. J. Duff and C. N. Pope, in Supersymmetry and Supergravity 82, edited by S. Ferrara, J. G. Taylor, and P. van Nieuwenhuizen(World Scientific, Singapore, 1983).
  14. H. Godazgar, M. Godazgar, and H. Nicolai, Phys. Rev. D 87, 085038 (2013).
  15. H. Godazgar, M. Godazgar, and H. Nicolai, Phys. Rev. D 88, 125002 (2013).
  16. B. de Wit, H. Samtleben, and M. Trigiante, Nucl. Phys. B655, 93 (2003).
  17. B. de Wit, H. Samtleben, and M. Trigiante, Fortschr. Phys. 52, 489 (2004).
  18. B. de Wit, H. Samtleben, and M. Trigiante, J. High Energy Phys. 06 (2007) 049.
  19. H. Nicolai and H. Samtleben, Phys. Rev. Lett. 86, 1686 (2001).
  20. H. Nicolai and H. Samtleben, J. High Energy Phys. 04 (2001) 022.
  21. B. de Wit and H. Nicolai, Nucl. Phys. B208, 323 (1982).
  22. J. Scherk and J. H. Schwarz, Nucl. Phys. B153, 61 (1979).
  23. B. S. DeWitt, in Relativity, Groups and Topology (Les Houches 1963), edited by C. DeWitt and B. S. Dewitt (Gordon and Breach, New York, 1964).
  24. M. Cvetic, G. Gibbons, H. Lu, and C. Pope, Classical Quantum Gravity 20, 5161 (2003).
  25. G. Dall’Agata and S. Ferrara, Nucl. Phys. B717, 223 (2005).
  26. L. Andrianopoli, M. Lledo, and M. Trigiante, J. High Energy Phys. 05 (2005) 051.
  27. G. Dall’Agata, R. D’Auria, and S. Ferrara, Phys. Lett. B 619, 149 (2005).
  28. R. D’Auria, S. Ferrara, and M. Trigiante, Nucl. Phys. B732, 389 (2006).
  29. R. D’Auria, S. Ferrara, and M. Trigiante, J. High Energy Phys. 09 (2005) 035.
  30. G. Dall’Agata and N. Prezas, J. High Energy Phys. 10 (2005) 103.
  31. P. Fré, Nucl. Phys. B742, 86 (2006).
  32. R. D’Auria, S. Ferrara, and M. Trigiante, J. High Energy Phys. 01 (2006) 081.
  33. P. Fré and M. Trigiante, Nucl. Phys. B751, 343 (2006).
  34. C. Hull and R. Reid-Edwards, J. High Energy Phys. 10 (2006) 086.
  35. H. Samtleben, Classical Quantum Gravity 25, 214002 (2008).
  36. M. Grana and D. Marques, J. High Energy Phys. 04 (2012) 020.
  37. D. S. Berman, E. T. Musaev, D. C. Thompson, and D. C. Thompson, J. High Energy Phys. 10 (2012) 174.
  38. E. T. Musaev, J. High Energy Phys. 05 (2013) 161.
  39. G. Aldazabal, M. Graña, D. Marqus, and J. Rosabal, J. High Energy Phys. 06 (2013) 046.
  40. G. E. Sneddon, J. Phys. A 9, 229 (1976).
  41. G. Dall’Agata, G. Inverso, and M. Trigiante, Phys. Rev. Lett. 109, 201301 (2012).
  42. G. Bossard, C. Hillmann, and H. Nicolai, J. High Energy Phys. 12 (2010) 52.
  43. L. Andrianopoli, R. D’Auria, S. Ferrara, and M. Lledo, J. High Energy Phys. 07 (2002) 010.
  44. C. Hillmann, J. High Energy Phys. 03 (2009) 135.

Outline

Information

Phys. Rev. D 89, 045009– Published 18 February, 2014
  • Received 11 December 2013

© 2014 American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation