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Conformal and Quasiconformal Realizations¶of Exceptional Lie Groups - Communications in Mathematical Physics

  • ️Nicolai, H.
  • ️Sun Jul 01 2001

Abstract:

We present a nonlinear realization of E 8(8) on a space of 57 dimensions, which is quasiconformal in the sense that it leaves invariant a suitably defined “light cone” in ℝ57. This realization, which is related to the Freudenthal triple system associated with the unique exceptional Jordan algebra over the split octonions, contains previous conformal realizations of the lower rank exceptional Lie groups on generalized space times, and in particular a conformal realization of E 7(7) on ℝ27 which we exhibit explicitly. Possible applications of our results to supergravity and M-Theory are briefly mentioned.

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Authors and Affiliations

  1. CERN, Theory Division, 1211 Geneva 23, Switzerland. e-mail: murat@phys.psu.edu, , , , , , CH

    M. Günaydin

  2. Max-Planck-Institut für Gravitationsphysik, Albert-Einstein-Institut, Mühlenberg 1, 14476 Potsdam,¶Germany. e-mail: koepsell@aei.mpg.de; nicolai@aei.mpg.de, , , , , , DE

    K. Koepsell & H. Nicolai

Authors

  1. M. Günaydin

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  2. K. Koepsell

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  3. H. Nicolai

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Additional information

Received: 12 August 2000 / Accepted: 2 March 2001

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Günaydin, M., Koepsell, K. & Nicolai, H. Conformal and Quasiconformal Realizations¶of Exceptional Lie Groups. Commun. Math. Phys. 221, 57–76 (2001). https://doi.org/10.1007/PL00005574

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  • Issue Date: July 2001

  • DOI: https://doi.org/10.1007/PL00005574

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