Abstract
Abstract
We consider a class of trigonometric solutions of Witten–Dijkgraaf–Verlinde–Verlinde equations determined by collections of vectors with multiplicities. We show that such solutions can be restricted to special subspaces to produce new solutions of the same type. We find new solutions given by restrictions of root systems, as well as examples which are not of this form. Further, we consider a closely related notion of a trigonometric ∨-system, and we show that its subsystems are also trigonometric ∨-systems. Finally, while reviewing the root system case we determine a version of (generalised) Coxeter number for the exterior square of the reflection representation of a Weyl group.
Subject
General Physics and Astronomy,Mathematical Physics,Modeling and Simulation,Statistics and Probability,Statistical and Nonlinear Physics
Reference32 articles.
1. Solutions of BC n type of WDVV equations;Alkadhem,2020
2. Supersymmetric V-systems;Antoniou;J. High Energy Phys.,2019
3. Complex reflection groups, logarithmic connections and bi-flat F-manifolds;Arsie;Lett. Math. Phys.,2017
4. Jacobi groups, Jacobi forms and their applications;Bertola,1999
5. Frobenius manifold structure on orbit space of Jacobi groups; part I;Bertola;Differ. Geom. Appl.,2000
Cited by
4 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献