Conformal and Quasiconformal Realizations of Exceptional Lie Groups

@inproceedings{Gnaydin2001ConformalAQ,
  title={Conformal and Quasiconformal Realizations of Exceptional Lie Groups},
  author={Murat G{\"u}naydin},
  year={2001}
}
We present a nonlinear realization of E8(8) on a space of 57 dimensions, which is quasiconformal in the sense that it leaves invarian t a suitably defined “light cone” in R. This realization, which is related to the Freudenthal triple system associated with the unique exceptional Jorda n algebra over the split octonions, contains previous conformal realization s f the lower rank exceptional Lie groups on generalized space times, and in pa rticul r a conformal realization ofE7(7) on R which we… CONTINUE READING

From This Paper

Topics from this paper.

Citations

Publications citing this paper.
SHOWING 1-10 OF 66 CITATIONS

References

Publications referenced by this paper.
SHOWING 1-10 OF 28 REFERENCES

A construction of Lie algebras from a class o f ternary algebras

  • J. Faulkner
  • Trans. Am. Math. Soc., 155, 397
  • 1971
Highly Influential
6 Excerpts

AdS/CFT dualities and the unitary repres entations of noncompact groups: Wigner versus Dirac

  • M. Günaydin
  • To appear in Tur kish Journal of Physics,
  • 1999
1 Excerpt

The exceptional superspace and the quadra tic jordan formulation of quantum mechanics

  • M. Günaydin
  • J. Schwarz (editor), Elementary particles and…
  • 1989
1 Excerpt

Exceptional realizations of lorentz group : Supersymmetries and leptons

  • M. Günaydin.
  • Geom . Dedicata
  • 1985

Oktaven

  • H. Freudenthal
  • Ausnahmegruppen und Oktaveng eometrie.Geom…
  • 1985
1 Excerpt

On the classification of Lie and Jordan triple s ystems

  • E. Neher
  • Commun. Algebra, 13, 2615
  • 1985

A CayleyDickson process for a cl ss of structurable algebras

  • J. Faulkner B. Allison
  • Trans . Am . Math . Soc .
  • 1984

J

  • B. Allison
  • Faulkner. A Cayley-Dickson process for a c l ss…
  • 1984
1 Excerpt

Similar Papers

Loading similar papers…