### Abstract

We revisit classical "on shell" duality, i.e., pseudoduality, in two-dimensional conformally invariant classical sigma models and find some new interesting results. We show that any two sigma models that are "on shell" duals have opposite 1-loop renormalization group beta functions because of the integrability conditions for the pseudoduality transformation. A new result states for any two compact Lie groups of the same dimension there is a natural pseudoduality transformation that maps classical solutions of the WZW model on the first group into solutions of the WZW model on the second group. This transformation preserves the stress-energy tensor. The two groups can be non-isomorphic such as B_{l} and C_{l} in the Cartan notation. This transformation can be used for a new construction of non-local conserved currents. The new non-local currents on G depend on the choice of dual group G̃.

Original language | English (US) |
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Pages (from-to) | 328-350 |

Number of pages | 23 |

Journal | Nuclear Physics B |

Volume | 638 |

Issue number | 3 |

DOIs | |

State | Published - Sep 2 2002 |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Nuclear Physics B*,

*638*(3), 328-350. https://doi.org/10.1016/S0550-3213(02)00448-0