## Abstract

We investigate the Ward identities of the script W sign_{∞} symmetry in the super-Liouville theory coupled to the super-conformal matter of central charge ĉ_{M} = 1 - 2(p - q)^{2}/pq. The theory is classified into two chiralities. For the positive chirality, all gravitationally dressed scaling operators are generated from the q - 1 gravitational primaries by one of the ring generators in the R-sector acting on them repeatedly. After fixing the normalizations of the dressed scaling operators, we find that the Ward identities are expressed in the form of the usual script W sign algebra constraints as in the bosonic case: script W sign_{n}^{(k+1)}τ = 0, (k = 1, . . . , q - 1; n ∈ Z_{≧1-k}), where the equations for even and odd n come from the currents in the NS- and the R-sector respectively. The non-linear terms come from the anomalous contributions at the boundaries of moduli space. The negative chirality is defined by interchanging the roles of p and q. Then we get the script W sign_{p} algebra constraints.

Original language | English |
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Pages (from-to) | 401-420 |

Number of pages | 20 |

Journal | Communications in Mathematical Physics |

Volume | 176 |

Issue number | 2 |

DOIs | |

Publication status | Published - 1996 |

## ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Mathematical Physics