From Godel Quaternions To Non-linear Sigma-models

Lambert, D.;Rembielinski, J.
(1988) Journal of Physics A: Mathematical and Theoretical — Vol. 21, n° 12, p. 2677-2691 (1988)

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  • Lambert, D.UCLouvain
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  • Rembielinski, J.UCLouvain
    Author
Abstract
From the ring of Godel quaternions, the authors construct new quaternionic groups and a pseudo-Hopf fibration. These can be used to study sigma models valued in a four-dimensional hyperboloid. Particular solutions of these models are also given.
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Lambert, D., & Rembielinski, J. (1988). From Godel Quaternions To Non-linear Sigma-models. Journal of Physics A: Mathematical and Theoretical, 21(12), 2677-2691. https://doi.org/10.1088/0305-4470/21/12/012 (Original work published 1988)