18 citations · 46 across the 7 of their papers we have counts for
7 papers
Trigonometric Solutions of the WDVV Equations from Root Systems
R. Martini, L. K. Hoevenaars
By introduction of an additional variable and addition of a Weyl invariant correction term to the perturbative prepotential in five-dimensional Seiberg-Witten theory we construct s…
On the WDVV equations in five-dimensional gauge theories
L. K. Hoevenaars, R. Martini
It is well-known that the perturbative prepotentials of four-dimensional N=2 supersymmetric Yang-Mills theories satisfy the generalized WDVV equations, regardless of the gauge grou…
Prolongation structure of the Krichever-Novikov equation
Sergei Igonin, Ruud Martini
We completely describe Wahlquist-Estabrook prolongation structures (coverings) dependent on u, u_x, u_{xx}, u_{xxx} for the Krichever-Novikov equation u_t=u_{xxx}-3u_{xx}^2/(2u_x)+…
Generalized WDVV equations for B_r and C_r pure N=2 Super-Yang-Mills theory
L. K. Hoevenaars, R. Martini
A proof that the prepotential for pure N=2 Super-Yang-Mills theory associated with Lie algebras B_r and C_r satisfies the generalized WDVV (Witten-Dijkgraaf-Verlinde-Verlinde) syst…
Generalized WDVV equations for F4 pure N=2 Super-Yang-Mills theory
L. K. Hoevenaars, P. H. M. Kersten, R. Martini
An associative algebra of holomorphic differential forms is constructed associated with pure N=2 Super-Yang-Mills theory for the Lie algebra F4. Existence and associativity of this…
The construction of Frobenius manifolds from KP tau-functions
J. W. van de Leur, R. Martini
Frobenius manifolds (solutions of WDVV equations) in canonical coordinates are determined by the system of Darboux-Egoroff equations. This system of partial differential equations…