## Abstract

Based on a path-integral prescription for anomaly calculation, we analyze an effective theory of the two-dimensional N = 2 supergravity, i.e. N = 2 super-Liouville theory. We calculate the anomalies associated with the BRST supercurrent and the ghost-number supercurrent. From those expressions of anomalies, we construct covariant BRST and ghost-number supercurrents in the effective theory. We then show that the (super-)coordinate BRST current algebra forms a superfield extension of the topological conformal algebra for an arbitrary type of conformal matter or, in terms of the string theory, for an arbitrary number of space-time dimensions. This fact is in great contrast with N = 0 and N = 1 (super-)Liouville theory, where the topological algebra singles out a particular value of dimensions. Our observation suggests a topological nature of the two-dimensional N = 2 supergravity as a quantum theory.

Original language | English |
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Pages (from-to) | 126-148 |

Number of pages | 23 |

Journal | Nuclear Physics, Section B |

Volume | 393 |

Issue number | 1-2 |

DOIs | |

Publication status | Published - Mar 22 1993 |

Externally published | Yes |

## All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics