### Abstract

We study the relation between the SL (2, R)/U(1) black hole and c=1 Liouville theory. A deformation, which interpolates the BRST operators of both models, is explicitly constructed. This interpolation is isomorphic, and the physical spectrum of the black hole is equivalent to that of the c=1 model tensored by a topological U(1)/U(1) model. Some implications of the deformation are discussed.

Original language | English |
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Pages (from-to) | 209-214 |

Number of pages | 6 |

Journal | Physics Letters B |

Volume | 302 |

Issue number | 2-3 |

DOIs | |

Publication status | Published - 1993 Mar 25 |

Externally published | Yes |

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

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## Cite this

Ishikawa, H., & Kato, M. (1993). Equivalence of BRST cohomologies for the 2D black hole and c=1 Liouville theory.

*Physics Letters B*,*302*(2-3), 209-214. https://doi.org/10.1016/0370-2693(93)90386-V