Liouville and Toda theories as conformally reduced WZNW theories
Abstract
It is shown that Liouville theory can be regarded as an SL(2, ø) Wess-Zumino-Novikov-Witten theory with conformal invariant constraints and that Polyakov's SL(2, ø) 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 non-compact) groups.
- Publication:
-
Physics Letters B
- Pub Date:
- August 1989
- DOI:
- 10.1016/S0370-2693(89)80025-5
- Bibcode:
- 1989PhLB..227..214F