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Pré-Publication, Document De Travail Année : 2010

On the geometry of classically integrable two-dimensional non-linear sigma models

Résumé

A master equation expressing the classical integrability of two-dimensional non-linear sigma models is found. The geometrical properties of this equation are outlined. In particular, a closer connection between integrability and T-duality transformations is emphasised. Finally, a whole new class of integrable non-linear sigma models is found and all their corresponding Lax pairs depend on a spectral parameter.

Dates et versions

hal-00783800 , version 1 (01-02-2013)

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N. Mohammedi. On the geometry of classically integrable two-dimensional non-linear sigma models. 2010. ⟨hal-00783800⟩
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