### Abstract

We generalize the Lax pair and Bäcklund transformations for Toda and N = 1 super Toda equations to the case of arbitrary world-sheet background geometry. We use the fact that the Toda equations express constant curvature conditions, which arise naturally from flatness conditions equivalent to the W-gravity equation of motion.

Original language | English |
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Pages (from-to) | 576-586 |

Number of pages | 11 |

Journal | Nuclear Physics, Section B |

Volume | 387 |

Issue number | 3 |

DOIs | |

Publication status | Published - 1992 Dec 7 |

Externally published | Yes |

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

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## Cite this

Aoki, K., & D'Hoker, E. (1992). W-gravity and generalized Lax equations for (super) Toda theory.

*Nuclear Physics, Section B*,*387*(3), 576-586. https://doi.org/10.1016/0550-3213(92)90207-R