Supersymmetry, Quantum Theory of Extended ObjectsNo Access

On the Octonionic Superconformal M-Algebra

F. Toppan

CCP, CBPF, Rua Dr. Xavier Sigaud 150, 22290-180, Urca, Rio de Janeiro, Brazil

https://doi.org/10.1142/S0217751X03015581Cited by:5 (Source: Crossref)

Abstract

It is shown that besides the standard real algebraic framework for M-theory a consistent octonionic realization can be introduced. The octonionic M-superalgebra and superconformal M-algebra are derived. The first one involves 52 real bosonic generators and presents a novel and surprising feature, its octonionic M5 (super-5-brane) sector coincides with the M1 and M2 sectors. The octonionic superconformal M-algebra is given by OS_p(1,8∣O) and admits 239 bosonic and 64 fermionic generators.

Keywords:

You currently do not have access to the full text article.
Recommend the journal to your library today!

References

R. Haag, J. Łopuszański and M. Sohnius, Nucl. Phys. B 88, 257 (1975), DOI: 10.1016/0550-3213(75)90279-5. Crossref, Web of Science, ADS, Google Scholar
T. Kugo and P. Townsend, Nucl. Phys. B 221, 357 (1983), DOI: 10.1016/0550-3213(83)90584-9. Crossref, Web of Science, ADS, Google Scholar
R. D'Auria, S. Ferrara and S. Vaula, Class. Quant. Grav. 18, 3181 (2001); JHEP 0010, 013 (2000); S. Ferrara and M. A. Lledo , arXiv:hep-th/0112177 . Google Scholar
D. B. Fairlie and A. C. Manogue, Phys. Rev. D 34(1), 1832 (1986), DOI: 10.1103/PhysRevD.34.1832. Crossref, Web of Science, Google Scholar
K. W. Chung and A. Sudbery, Phys. Lett. B 198, 161 (1987). Crossref, Web of Science, ADS, Google Scholar
C. A. Barton and A. Sudbery , arXiv:math.RA/0203010 . Google Scholar
P. Ramond, "Algebraic Dreams" , arXiv:hep-th/0112261 . Google Scholar
L. Smolin , arXiv:hep-th/0104050 . Google Scholar
J. Lukierski and F. Toppan, Phys. Lett. B 539, 266 (2002). Crossref, Web of Science, ADS, Google Scholar
J. Lukierski and F. Toppan, "Octonionic M-theory and D = 11 Generalized Conformal and Superconformal Algebras" , arXiv:hep-th/0212201 . Google Scholar
E. Bergshoeff, E. Sezgin and P. Townsend, Ann. Phys. 18, 330 (1987). Google Scholar
M. J. Duff, R. R. Khuri and J. X. Lu, Phys. Rep. 259, 213 (1995), DOI: 10.1016/0370-1573(95)00002-X. Crossref, Web of Science, ADS, Google Scholar
M. Günaydin and S. V. Ketov, Nucl. Phys. B 467, 215 (1996). Crossref, Web of Science, ADS, Google Scholar
Z. Hasiewicz and J. Lukierski, Phys. Rev. B 145, 65 (1984). Google Scholar
M. Cederwall and C. Preitschopf, Commun. Math. Phys. 167, 373 (1995), DOI: 10.1007/BF02100591. Crossref, Web of Science, ADS, Google Scholar
H. L. Carrion, M. Rojas and F. Toppan, "Quaternionic and Octonionic Spinors. A classification", Preprint CBPF-NF-002/03 . Google Scholar