Trigonometric solutions of WDVV equations and generalized Calogero-Moser-Sutherland systems

DOI10.3842/SIGMA.2009.088zbMath1241.35166arXiv0802.0532MaRDI QIDQ970274

Misha V. Feigin

Publication date: 17 May 2010

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0802.0532

zbMATH Keywords

Witten-Dijkgraaf-Verlinde-Verlinde equations\(\vee \)-systemsCalogero-Moser-Sutherland systems

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Groups and algebras in quantum theory and relations with integrable systems (81R12) Solutions to PDEs in closed form (35C05)

Related Items (7)

Many-particle mechanics with \(D(2, 1; {\alpha})\) superconformal symmetry ⋮ Generalized Legendre transformations and symmetries of the WDVV equations ⋮ Frobenius algebras and root systems: the trigonometric case ⋮ Weyl groups and elliptic solutions of the WDVV equations ⋮ Intertwining operator for AG2 Calogero–Moser–Sutherland system ⋮ Extended ⋁-systems and trigonometric solutions to the WDVV equations ⋮ Trigonometric ∨ -systems and solutions of WDVV equations ^*

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