Conformally invariant quantization of the liouville theory

Thomas L. Curtright, Charles B. Thorn

Research output: Contribution to journalArticlepeer-review

251 Scopus citations


The Liouville theory is quantized with use of Fock-space methods, an infinite set of charges Ln, n=0, ±1, is constructed which represents the conformal algebra in two dimensions, and consequences of this algebra are discussed. It is then argued, with use of variational methods in Fock space, that the spectrum of the Liouville Hamiltonian is continuous, and that there exist energy eigenstates obeying the constraints Ln|E=0, n>0.

Original languageEnglish (US)
Pages (from-to)1309-1313
Number of pages5
JournalPhysical Review Letters
Issue number19
StatePublished - 1982
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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