Abstract
We introduce fermions into the E 11 non-linear realisation. We show, at low levels, that the commutators of the Cartan involution invariant subalgebra of E 11 with the known supersymmetry transformations of eleven dimensional supergravity lead to symmetries of the theory indicating the consistency of supersymmetry and E 11.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
P. West, E 11 and M theory, Class. Quant. Grav. 18 (2001) 4443 [hep-th/0104081].
P.C. West, E 11 , SL(32) and central charges, Phys. Lett. B 575 (2003) 333 [hep-th/0307098] [SPIRES].
F. Riccioni and P.C. West, The E 11 origin of all maximal supergravities, JHEP 07 (2007) 063 [arXiv:0705.0752] [SPIRES].
E.A. Bergshoeff, I. De Baetselier and T.A. Nutma, E 11 and the embedding tensor, JHEP 09 (2007) 047 [arXiv:0705.1304] [SPIRES].
F. Riccioni and P.C. West, E 11 -extended spacetime and gauged supergravities, JHEP 02 (2008) 039 [arXiv:0712.1795] [SPIRES].
E. Cremmer and B. Julia, The SO(8) Supergravity, Nucl. Phys. B 159 (1979) 141 [SPIRES].
T. Damour, M. Henneaux and H. Nicolai, E 10 and a ’small tension expansion’ of M-theory, Phys. Rev. Lett. 89 (2002) 221601 [hep-th/0207267] [SPIRES].
S. de Buyl, M. Henneaux and L. Paulot, Extended E8 Invariance of 11-Dimensional Supergravity, JHEP 02 (2006) 056 [hep-th/0512292] [SPIRES].
T. Damour, A. Kleinschmidt and H. Nicolai, Hidden symmetries and the fermionic sector of eleven- dimensional supergravity, Phys. Lett. B 634 (2006) 319 [hep-th/0512163] [SPIRES].
S. de Buyl, M. Henneaux and L. Paulot, Hidden symmetries and Dirac fermions, Class. Quant. Grav. 22 (2005) 3595 [hep-th/0506009] [SPIRES].
M. Henneaux, E. Jamsin, A. Kleinschmidt and D. Persson, On the E 10 /Massive Type IIA Supergravity Correspondence, Phys. Rev. D 79 (2009) 045008 [arXiv:0811.4358] [SPIRES].
M.R. Gaberdiel, D.I. Olive and P.C. West, A class of Lorentzian Kac-Moody algebras, Nucl. Phys. B 645 (2002) 403 [hep-th/0205068] [SPIRES].
E. Cremmer, B. Julia and J. Scherk, Supergravity theory in 11 dimensions, Phys. Lett. B 76 (1978) 409 [SPIRES].
I.A. Bandos, N. Berkovits and D.P. Sorokin, Duality-symmetric eleven-dimensional supergravity and its coupling to M-branes, Nucl. Phys. B 522 (1998) 214 [hep-th/9711055] [SPIRES].
P. West, Introduction to Supersymmetry and Supergravity, World Scientific (1990).
A. Borisov and V. Ogievetski, Theory of dynamical affine and conformal symmetries as the theory of the gravitational field, Theor. Mat. Fiz. 21 (1974) 329.
P.C. West, Hidden superconformal symmetry in M-theory, JHEP 08 (2000) 007 [hep-th/0005270] [SPIRES].
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1011.5820
Rights and permissions
About this article
Cite this article
Steele, D., West, P. E11 and supersymmetry. J. High Energ. Phys. 2011, 101 (2011). https://doi.org/10.1007/JHEP02(2011)101
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP02(2011)101