Liouville and Toda Theories as Conformally Reduced WZNW Theories

Forgács, P. and Wipf, A. and Balog, J. and Fehér, L. and O'Raifeartaigh, L. (1989) Liouville and Toda Theories as Conformally Reduced WZNW Theories. (Preprint)

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Abstract

It is shown that Liouville theory can be regarded as an SL(2, R) Wess-Zumino-Novikov-Witten theory with conformal invariant constraints and that Polyakov’s SL(2, R) Kac-Moody symmetry of induced two-dimensional gravity is just one side of the WZNW current algebra. Analogously, Toda field theories can be regarded as conformal-invariantly constrained WZNW theories for appropriate (maximally noncompact) groups.

Item Type: Article
Divisions: School of Theoretical Physics > Preprints
Date Deposited: 10 Jul 2018 14:57
Last Modified: 23 Jul 2018 10:38
URI: http://dair.dias.ie/id/eprint/900

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