12 citations · 29 across the 7 of their papers we have counts for
7 papers
Frobenius manifolds, projective special geometry and Hitchin systems
Claus Hertling, Luuk Hoevenaars, Hessel Posthuma
We consider the construction of Frobenius manifolds associated to projective special geometry and analyse the dependence on choices involved. In particular, we prove that the under…
Frobenius manifolds and algebraic integrability
L. K. Hoevenaars
We give a short review of Frobenius manifolds and algebraic integrability and study their intersection. The simplest case is the relation between the Frobenius manifold of simple s…
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…
Duality Transformations for Generalized WDVV equations in Seiberg-Witten theory
Luuk Hoevenaars
It is known that electric-magnetic duality transformations are symmetries of the generalized Witten-Dijkgraaf-Verlinde-Verlinde (WDVV) equations. In Seiberg-Witten theory the solut…
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…