Towards a manifestly supersymmetric action for 11-dimensional supergravity

Journal of High Energy Physics

Volumn 2010, Issue 1, 2010, Pages

  Cederwall, Martin ^a  

^a CHALMERS UNIVERSITY OF TECHNOLOGY   (Sweden)

Author keywords

Classical theories of gravity; Extended supersymmetry; Supergravity models; Superspaces

Indexed keywords

EID: 77955007607     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP01(2010)117     Document Type: Article

References (38)

1. E. Cremmer, B. Julia and J. Scherk, Supergravity theory in 11 dimensions, Phys. Lett. B 76 (1978) 409
2. L. Brink and P. S. Howe, Eleven-Dimensional Supergravity on the Mass-Shell in Superspace, Phys. Lett. B 91 (1980) 384
3. E. Cremmer and S. Ferrara, Formulation of Eleven-Dimensional Supergravity in Superspace, Phys. Lett. B 91 (1980) 61
4. B. E. W. Nilsson, Pure Spinors As Auxiliary Fields In The Ten-Dimensional Supersymmetric Yang-Mills Theory, Class. Quant. Grav. 3 (1986) L41
5. P. S. Howe, Pure spinors lines in superspace and ten-dimensional supersymmetric theories, Phys. Lett. B 258 (1991) 141
6. P. S. Howe, Pure spinors, function superspaces and supergravity theories in ten-dimensions and eleven-dimensions, Phys. Lett. B 273 (1991) 90
7. N. Berkovits, Super-Poincaré covariant quantization of the superstring, JHEP 04 (2000) 018 [hep-th/0001035]
8. N. Berkovits, Covariant quantization of the superparticle using pure spinors, JHEP 09 (2001) 016 [hep-th/0105050]
9. M. Cederwall, U. Gran, M. Nielsen and B. E. W. Nilsson, Manifestly supersymmetric M-theory, JHEP 10 (2000) 041 [hep-th/0007035]
10. M. Cederwall, U. Gran, M. Nielsen and B. E. W. Nilsson, Generalised 11-dimensional supergravity, hep-th/0010042
11. M. Cederwall, B. E. W. Nilsson and D. Tsimpis, The structure of maximally supersymmetric Yang-Mills theory: constraining higher-order corrections, JHEP 06 (2001) 034 [hep-th/0102009]
12. 2), JHEP 07 (2001) 042 [hep-th/0104236]
13. M. Cederwall, B. E. W. Nilsson and D. Tsimpis, Spinorial cohomology and maximally supersymmetric theories, JHEP 02 (2002) 009 [hep-th/0110069]
14. M. Cederwall, Superspace methods in string theory, supergravity and gauge theory, lectures at the XXXVII Winter School in Theoretical Physics "New Developments in Fundamental Interactions Theories", Karpacz, Poland, Feb. 6-15, 2001 hep-th/0105176
15. M. Movshev and A. S. Schwarz, On maximally supersymmetric Yang-Mills theories, Nucl. Phys. B 681 (2004) 324 [hep-th/0311132]
16. M. Cederwall, U. Gran, B. E. W. Nilsson and D. Tsimpis, Supersymmetric corrections to eleven-dimensional supergravity, JHEP 05 (2005) 052 [hep-th/0409107]
17. N. Berkovits, Pure spinor formalism as an N = 2 topological string, JHEP 10 (2005) 089 [hep-th/0509120]
18. M. Cederwall and B. E. W. Nilsson, Pure Spinors and D = 6 super-Yang-Mills, arXiv:0801.1428
19. M. Cederwall, N=8 superfield formulation of the Bagger-Lambert-Gustavsson model, JHEP 09 (2008) 116 [arXiv:0808.3242]
20. M. Cederwall, Superfield actions for N=8 and N=6 conformal theories in three dimensions, JHEP 10 (2008) 070 [arXiv:0809.0318]
21. I. A. Batalin and G. A. Vilkovisky, Gauge Algebra and Quantization, Phys. Lett. B 102 (1981) 27
22. A. Fuster, M. Henneaux and A. Maas, BRST quantization: A short review, Int. J. Geom. Meth. Mod. Phys. 2 (2005) 939 [hep-th/0506098]
23. J. Bagger and N. Lambert, Modeling multiple M2's, Phys. Rev. D 75 (2007) 045020 [hep-th/0611108]
24. A. Gustavsson, Algebraic structures on parallel M2-branes, Nucl. Phys. B 811 (2009) 66 [arXiv:0709.1260]
25. J. Bagger and N. Lambert, Gauge Symmetry and Supersymmetry of Multiple M2-Branes, Phys. Rev. D 77 (2008) 065008 [arXiv:0711.0955]
26. O. Aharony, O. Bergman, D. L. Jafferis and J. Maldacena, N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals, JHEP 10 (2008) 091 [arXiv:0806.1218]
27. M. Cederwall, D=11 supergravity with manifest supersymmetry work in progress, arXiv:1001.0112.
28. B. Zwiebach, Closed string field theory: Quantum action and the B-V master equation, Nucl. Phys. B 390 (1993) 33 [hep-th/9206084]
29. N. Berkovits, Covariant quantization of the supermembrane, JHEP 09 (2002) 051 [hep-th/0201151]
30. L. Anguelova, P. A. Grassi and P. Vanhove, Covariant one-loop amplitudes in D = 11, Nucl. Phys. B 702 (2004) 269 [hep-th/0408171]
31. P. A. Grassi and P. Vanhove, Topological M-theory from pure spinor formalism, Adv. Theor. Math. Phys. 9 (2005) 285 [hep-th/0411167]
32. N. Berkovits, ICTP lectures on covariant quantization of the superstring, in proceedings of The ICTP Spring School on Superstrings and Related Matters, Trieste, Italy, 2002 [hep-th/0209059]
33. N. Berkovits and N. Nekrasov, The character of pure spinors, Lett. Math. Phys. 74 (2005) 75 [hep-th/0503075]
34. N. Berkovits and N. Nekrasov, Multiloop superstring amplitudes from non-minimal pure spinor formalism, JHEP 12 (2006) 029 [hep-th/0609012]
35. R. Marnelius and M. Ögren, Symmetric inner products for physical states in BRST quantization, Nucl. Phys. B 351 (1991) 474
36. P. S. Howe, Weyl superspace, Phys. Lett. B 415 (1997) 149 [hep-th/9707184]
37. N. Boulanger, T. Damour, L. Gualtieri and M. Henneaux, Inconsistency of interacting, multigraviton theories, Nucl. Phys. B 597 (2001) 127 [hep-th/0007220]
38. U. Gran, GAMMA: A Mathematica package for performing Gamma-matrix algebra and Fierz transformations in arbitrary dimensions, hep-th/0105086