A note on E 11 and three-dimensional gauged supergravity

Journal of High Energy Physics

Volumn 2008, Issue 5, 2008, Pages

  Bergshoeff, Eric A ^a   Hohm, Olaf ^a   Nutma, Teake A ^a  

^a UNIVERSITY OF GRONINGEN   (Netherlands)

Author keywords

Chern simons theories; Gauge symmetry; Global symmetries; Supergravity models

Indexed keywords

EID: 84856407358     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2008/05/081     Document Type: Article

References (36)

1. B. Julia, Kac-Moody symmetry of gravitation and supergravity theories 1985 Lect. Appl. Math. 21 335
2. 10 and a 'small tension expansion' of M-theory, 2002 Phys. Rev. Lett. 89 221601 [hep-th/0207267]
3. 11, [hep-th/0301017]
4. 9 levels, [hep-th/0410245]
5. 10, 2005 Phys. Lett. B 606 391 [hep-th/0411225]
6. 11 and M-theory, 2001 Class. Quantum Grav. 18 4443 [hep-th/0104081]
7. I. Schnakenburg and P.C. West, Kac-Moody symmetries of IIB supergravity 2001 Phys. Lett. B 517 421 [hep-th/0107181]
8. 8 at low levels, gravity and supergravity, 2003 Class. Quantum Grav. 20 2393 [hep-th/0212291]
9. A. Kleinschmidt, I. Schnakenburg and P. West, Very-extended Kac-Moody algebras and their interpretation at low levels 2004 Class. Quantum Grav. 21 2493 [hep-th/0309198]
10. 11, ten forms and supergravity, 2006 J. High Energy Phys. JHEP03(2006)072 [hep-th/0511153]
11. F. Englert, L. Houart, A. Taormina and P. West, The symmetry of M-theories 2003 J. High Energy Phys. JHEP09(2003)020 [hep-th/0304206]
12. F. Englert and L. Houart, G+++ invariant formulation of gravity and M-theories: exact BPS solutions 2004 J. High Energy Phys. JHEP01(2004)002 [hep-th/0311255]
13. 11 origin of all maximal supergravities, 2007 J. High Energy Phys. JHEP07(2007)063 [0705.0752]
14. 11 and the embedding tensor, 2007 J. High Energy Phys. JHEP09(2007)047 [0705.1304]
15. E.A. Bergshoeff, J. Gomis, T.A. Nutma and D. Roest, Kac-Moody spectrum of (half-)maximal supergravities 2008 J. High Energy Phys. JHEP02(2008)069 [0711.2035]
16. F. Riccioni, A. Van Proeyen and P. West, Real forms of very extended Kac-Moody algebras and theories with eight supersymmetries [0801.2763]
17. H. Nicolai and H. Samtleben, Maximal gauged supergravity in three dimensions 2001 Phys. Rev. Lett. 86 1686 [hep-th/0010076]
18. H. Nicolai and H. Samtleben, Compact and noncompact gauged maximal supergravities in three dimensions 2001 J. High Energy Phys. JHEP04(2001)022 [hep-th/0103032]
19. B. de Wit, H. Samtleben and M. Trigiante, On Lagrangians and gaugings of maximal supergravities 2003 Nucl. Phys. B 655 93 [hep-th/0212239]
20. B. de Wit, I. Herger and H. Samtleben, Gauged locally supersymmetric D = 3 nonlinear σ-models 2003 Nucl. Phys. B 671 175 [hep-th/0307006]
21. B. de Wit, H. Samtleben and M. Trigiante, Gauging maximal supergravities 2004 Fortschr. Phys. 52 489 [hep-th/0311225]
22. B. de Wit, H. Samtleben and M. Trigiante, The maximal D = 5 supergravities 2005 Nucl. Phys. B 716 215 [hep-th/0412173]
23. B. de Wit and H. Samtleben, Gauged maximal supergravities and hierarchies of nonabelian vector-tensor systems 2005 Fortschr. Phys. 53 442 [hep-th/0501243]
24. H. Samtleben and M. Weidner, The maximal D = 7 supergravities 2005 Nucl. Phys. B 725 383 [hep-th/0506237]
25. B. de Wit, H. Samtleben and M. Trigiante, The maximal D = 4 supergravities 2007 J. High Energy Phys. JHEP06(2007)049 [0705.2101]
26. E. Bergshoeff, H. Samtleben and E. Sezgin, The Gaugings of maximal D = 6 supergravity 2008 J. High Energy Phys. JHEP03(2008)068 [0712.4277]
27. B. de Wit, H. Nicolai and H. Samtleben, Gauged supergravities, tensor hierarchies and M-theory 2008 J. High Energy Phys. JHEP02(2008)044 [0801.1294]
28. 11-extended spacetime and gauged supergravities, 2008 J. High Energy Phys. JHEP02(2008)039 [0712.1795]
29. T. Fischbacher, H. Nicolai and H. Samtleben, Vacua of maximal gauged D = 3 supergravities 2002 Class. Quantum Grav. 19 5297 [hep-th/0207206]
30. T. Fischbacher, H. Nicolai and H. Samtleben, Non-semisimple and complex gaugings of N = 16 supergravity 2004 Comm. Math. Phys. 249 475 [hep-th/0306276]
31. 3 2005 J. High Energy Phys. JHEP05(2005)027 [hep-th/0503088]
32. U. Gran, GAMMA: a Mathematica package for performing Gamma-matrix algebra and Fierz transformations in arbitrary dimensions [hep-th/0105086]
33. 10 and SO(9,9) invariant supergravity, 2004 J. High Energy Phys. JHEP07(2004)041 [hep-th/0407101]
34. 8)) quantum symmetry of maximal supergravity in two dimensions, 1999 J. High Energy Phys. JHEP04(1999)023 [hep-th/9903111]
35. 2 2007 J. High Energy Phys. JHEP11(2007)038 [0706.0667]
36. E. Bergshoeff, O. Hohm, A. Kleinschmidt, H. Nicolai, T. Nutma and J. Palmkvist, work in progress