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Topological Field Theory approach to the Generalized Benney Hierarchy

Jen-Hsu Chang·Ming-Hsien Tu
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Abstract

The integrability of the generalized Benney hierarchy with three primary fields is investigated from the point of view of two-dimensional topological field theories coupled to gravity. The associated primary free energy and correlation functions at genus zero are obtained via Landau-Ginzburg formulation and the string equation is derived using the twistor construction for the Orlov operators. By adopting the approach of Dubrovin and Zhang we obtain the genus-one corrections of the Poisson brackets of the generalized Benney hierarchy.

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Jen-Hsu Chang, Ming-Hsien Tu. 2001-08-09. Topological Field Theory approach to the Generalized Benney Hierarchy. https://arxiv.org/abs/hep-th/0108059

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