Liouville and Toda theories as conformally reduced WZNW theories

P. Forgács, A. Wipf, J. Balog, L. Fehér, L. O'Raifeartaigh

Research output: Contribution to journalArticle

146 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)214-220
Number of pages7
JournalPhysics Letters B
Volume227
Issue number2
DOIs
Publication statusPublished - Aug 24 1989

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current algebra
gravitation
symmetry

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Liouville and Toda theories as conformally reduced WZNW theories. / Forgács, P.; Wipf, A.; Balog, J.; Fehér, L.; O'Raifeartaigh, L.

In: Physics Letters B, Vol. 227, No. 2, 24.08.1989, p. 214-220.

Research output: Contribution to journalArticle

Forgács, P. ; Wipf, A. ; Balog, J. ; Fehér, L. ; O'Raifeartaigh, L. / Liouville and Toda theories as conformally reduced WZNW theories. In: Physics Letters B. 1989 ; Vol. 227, No. 2. pp. 214-220.
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