Extended ⋁-systems and trigonometric solutions to the WDVV equations

DOI10.1063/5.0024108zbMath1464.37074OpenAlexW3128995802MaRDI QIDQ5855665

Richard Stedman, Ian A. B. Strachan

Publication date: 19 March 2021

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

Full work available at URL: http://eprints.gla.ac.uk/250489/1/250489.pdf

zbMATH Keywords

Coxeter groupsLegendre transformationsWitten-Dijkgraaf-Verlinde-Verlinde equations

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 topology, geometry and differential geometry (37K25) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) General theory of infinite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, conservation laws (37K06)

Related Items (4)

Five-dimensional gauge theories and the local B-model ⋮ Frobenius manifolds and a new class of extended affine Weyl groups of BCD-type ⋮ WDVV equations and invariant bi-Hamiltonian formalism ⋮ Frobenius algebras and root systems: the trigonometric case

Cites Work

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• \(N=4\) multi-particle mechanics, WDVV equation and roots
• Logarithmic Frobenius structures and Coxeter discriminants
• Trigonometric solutions of WDVV equations and generalized Calogero-Moser-Sutherland systems
• Weyl groups and elliptic solutions of the WDVV equations
• On a linear structure of the quotient variety by a finite reflexion group
• Frobenius manifolds: Natural submanifolds and induced bi-Hamiltonian structures.
• Deformed quantum Calogero-Moser problems and Lie superalgebras
• Deformations of the root systems and new solutions to generalised WDVV equations
• Extended affine Weyl groups of BCD-type: their Frobenius manifolds and Landau-Ginzburg superpotentials
• Complex reflection groups, logarithmic connections and bi-flat \(F\)-manifolds
• Generalized Legendre transformations and symmetries of the WDVV equations
• On the geometry of V-systems
• A note on the relationship between rational and trigonometric solutions of the WDVV equations
• On generalizations of root systems
• MORE EVIDENCE FOR THE WDVV EQUATIONS IN ${\mathcal N} = 2$ SUSY YANG–MILLS THEORIES
• On deformation and classification of ∨-systems
• Trigonometric ∨ -systems and solutions of WDVV equations ^*

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