### Abstract

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 language | English (US) |
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Pages (from-to) | 1309-1313 |

Number of pages | 5 |

Journal | Physical Review Letters |

Volume | 48 |

Issue number | 19 |

DOIs | |

State | Published - Jan 1 1982 |

Externally published | Yes |

### ASJC Scopus subject areas

- Physics and Astronomy(all)

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## Cite this

Curtright, T. L., & Thorn, C. B. (1982). Conformally invariant quantization of the liouville theory.

*Physical Review Letters*,*48*(19), 1309-1313. https://doi.org/10.1103/PhysRevLett.48.1309