Spinorial cohomology and maximally supersymmetric theories

Journal of High Energy Physics

Volumn 6, Issue 2, 2002, Pages 205-223

  Cederwall, Martin ^a   Nilsson, Bengt E W ^a   Tsimpis, Dimitrios ^a  

^a UNIVERSITY OF GOTHENBURG   (Sweden)

Author keywords

Field Theories in Higher Dimensions; Supergravity Models; Superspaces

Indexed keywords

EID: 23044467432     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2002/02/009     Document Type: Article

References (35)

1. M. Cederwall, B.E.W. Nilsson and D. Tsimpis, The structure of maximally supersymmetric Yang-Mills theory: constraining higher-order corrections, J. High Energy Phys. 06 (2001) 034 [hep-th/0102009].
2. 22), J. High Energy Phys. 07 (2001) 042 [hep-th/0104236].
3. M. Cederwall, Superspace methods in string theory, supergravity and gauge theory, in New developments in fundamental interaction theories, proceedings of 37th Karpacz Winter School of theoretical physics, J. Lukierski and J. Rembielinski eds., AIP Conf. Proc. 589 [hep-th/0105176].
4. L. Brink, J.H. Schwarz and J. Scherk, Supersymmetric Yang-Mills theories, Nucl. Phys. B 121 (1977) 77.
5. E. Cremmer, B. Julia and J. Scherk, Supergravity theory in eleven-dimensions, Phys. Lett. B 76 (1978) 409.
6. L. Brink and P. Howe, Eleven-dimensional supergravity on the mass-shell in superspace, Phys. Lett. B 91 (1980) 384;
7. E. Cremmer and S. Ferrara, Formulation of eleven-dimensional supergravity in superspace, Phys. Lett. B 91 (1980) 61.
8. P.S. Howe, Weyl superspace, Phys. Lett. B 415 (1997) 149 [hep-th/9707184].
9. M. Cederwall, U. Gran, M. Nielsen and B.E.W. Nilsson, Manifestly supersymmetric M-theory, J. High Energy Phys. 10 (2000) 041 [hep-th/0007035];
10. Generalised 11-dimensional supergravity, hep-th/0010042.
11. M. Cederwall, U. Gran, B.E.W. Nilsson and D. Tsimpis, work in progress.
12. K. Peeters, P. Vanhove and A. Westerberg, Supersymmetric higher derivative actions in ten-dimensions and eleven-dimensions, the associated superalgebras and their formulation in superspace, Class, and Quant. Grav. 18 (2001) 843 [hep-th/0010167];
13. 4 actions and quantum corrections to superspace torsion constraints, hep-th/0010182.
14. B.E.W. Nilsson, Off-shell fields for the 10-dimensional supersymmetric Yang-Mills theory, Göteborg-ITP-81-6
15. B.E.W. Nilsson, Pure spinors as auxiliary fields in the ten-dimensional supersymmetric Yang-Mills theory, Class, and Quant. Grav. 3 (1986) L41.
16. E. Bergshoeff, M. Rakowski and E. Sezgin, Higher derivative super Yang-Mills theories, Phys. Lett. B 185 (1987) 371.
17. S.J. Gates Jr., P. Majumdar, B. Radak and S. Vashakidze, Violation of Lorentz invariance in type II Green-Schwarz superstrings in curved D = 10, N = 2 superspace, Phys. Lett. B 226 (1989) 237.
18. A.M. Cohen, M. van Leeuwen and B. Lisser, LiE v. 2.2 (1998), http://wallis.univ-poitiers.fr/~maavl/LiE/.
19. B.E.W. Nilsson, A superspace approach to branes and supergravity, in Theory of elementary particles, proceedings of the 31st international symposium Ahrenshoop, September 2-6, 1997, Buckow, H. Dorn et al. eds., Wiley-VCH 1998 [hep-th/0007017].
20. P.S. Howe, E. Sezgin and P.C. West, Aspects of superembeddings, hep-th/9705093.
21. E. Sezgin, Topics in M-theory, hep-th/9809204.
22. S.J. Gates Jr. and H. Nishino, Deliberations on 11D superspace for the M-theory effective action, Phys. Lett. B 508 (2001) 155 [hep-th/0101037].
23. B.E.W. Nilsson, Superspace action for a six-dimensional nonextended supersymmetric Yang-Mills theory, Nucl. Phys. B 174 (1980) 335.
24. E. Bergshoeff, E. Sezgin and P.K. Townsend, Supermembranes and eleven-dimensional supergravity, Phys. Lett. B 189 (1987) 75;
25. Properties of the eleven-dimensional supermembrane theory, Ann. Phys. (NY) 185 (1988) 330;
26. M.J. Duff, P.S. Howe, T. Inami and K.S. Stelle, Superstrings in D = 10 from supermembranes in D = 11, Phys. Lett. B 191 (1987) 70;
27. M. Cederwall, B.E.W. Nilsson and P. Sundell, An action for the super-5-brane in D = 11 supergravity, J. High Energy Phys. 04 (1998) 007 [hep-th/9712059];
28. M. Cederwall, A. von Gussich, B.E.W. Nilsson and A. Westerberg, The Dirichlet super-three-brane in ten-dimensional type IIB supergravity, Nucl. Phys. B 490 (1997) 163 [hep-th/9610148];
29. M. Aganagic, C. Popescu and J.H. Schwarz, D-brane actions with local kappa symmetry, Phys. Lett. B 393 (1997) 311 [hep-th/9610249];
30. M. Cederwall, A. von Gussich, B.E.W. Nilsson, P. Sundell and A. Westerberg, The Dirichlet super-p-branes in ten-dimensional type IIA and IIB supergravity, Nucl. Phys. B 490 (1997) 179 [hep-th/9611159];
31. E. Bergshoeff and P.K. Townsend, Super D-branes, Nucl. Phys. B 490 (1997) 145 [hep-th/9611173].
32. E. Bergshoeff and M. de Roo, The supercurrent in ten-dimensions, Phys. Lett. B 112 (1982) 53.
33. U. Gran, GAMMA: a Mathematica package for performing gamma-matrix algebra and Fierz transformations in arbitrary dimensions, hep-th/0105086.
34. P. Howe, private communication
35. N. Berkovits, Cohomology in the pure spinor formalism for the superstring, J. High Energy Phys. 09 (2000) 046 [hep-th/0006003].