Integrable structure behind the WDVV equations

DOI10.1023/A:1021859421126zbMath1068.37047arXivhep-th/0111243OpenAlexW1494114563MaRDI QIDQ2486920

Henrik Aratyn, Johan W. van de Leur

Publication date: 17 August 2005

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0111243

zbMATH Keywords

WDVV equationsRiemann-Hilbert factorizationtau functionsdressingKadomtsev-Petviashvili hierarchiesDarboux-Egoroff metrics

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

Related Items (4)

The sixth Painlevé equation as similarity reduction of \({\widehat{\mathfrak{gl}}_3}\) generalized Drinfel'd-Sokolov hierarchy ⋮ Tau function and Virasoro action for the \(n\times n\) KdV hierarchy ⋮ Tau functions and Virasoro actions for soliton hierarchies ⋮ The symplectic Kadomtsev-Petviashvili hierarchy and rational solutions of Painlevé VI.

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