Solutions of WDVV Equations in Seiberg-Witten Theory from Root Systems

DOI10.2991/jnmp.1999.6.1.1zbMath0980.37018arXivhep-th/9901166OpenAlexW2130855505MaRDI QIDQ4498245

R. Martini, P. K. H. Gragert

Publication date: 15 August 2000

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9901166

zbMATH Keywords

Witten-Dijkgraaf-Verlinde-Verlinde equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Supersymmetric field theories in quantum mechanics (81T60) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45)

Related Items (18)

Superconformal \(SU(1, 1|n)\) mechanics ⋮ Review of symbolic software for Lie symmetry analysis ⋮ Duality for Jacobi group orbit spaces and elliptic solutions of the WDVV equations ⋮ On the logarithmic solutions of the WDVV equations ⋮ Logarithmic Frobenius structures and Coxeter discriminants ⋮ Many-particle mechanics with \(D(2, 1; {\alpha})\) superconformal symmetry ⋮ Deformations of the root systems and new solutions to generalised WDVV equations ⋮ Supersymmetric V-systems ⋮ Frobenius algebras and root systems: the trigonometric case ⋮ Generalized WDVV equations for \(F_4\) pure \(N=2\) super-Yang-Mills theory ⋮ Weyl groups and elliptic solutions of the WDVV equations ⋮ The WDVV equations in pure Seiberg-Witten theory ⋮ \({\mathcal N}=4\) superconformal n-particle mechanics via superspace ⋮ On deformation and classification of ∨-systems ⋮ A new class of solutions to the WDVV equation ⋮ Second order reductions of the WDVV equations related to classical Lie algebras ⋮ On the WDVV equations in five-dimensional gauge theories ⋮ Trigonometric ∨ -systems and solutions of WDVV equations ^*

Cites Work

• WDVV equations in Seiberg-Witten theory and associative algebras
• Unnamed Item

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