The study of the integrability properties of the N=2 Landau-Ginzburg models leads naturally to a graph generalization of the Yang-Baxter equation which synthetizes the well known vertex and RSOS Yang-Baxter equations.A non trivial solution of this equation is found for the t2 perturbation of the A-models, which turns out to be intimately related to the Boltzmann weights of a Chiral-Potts model....

We study a singular nonlinear ordinary differential equation on intervals [0, R) with R ≤ +∞, motivated by the Ginzburg–Landau models in superconductivity and Landau–de Gennes models in liquid crystals. We prove existence and uniqueness of positive solutions under general assumptions on the nonlinearity. Further uniqueness results for sign-changing solutions are obtained for a physically releva...

In this paper we discuss correlation functions in certain A-twisted Landau-Ginzburg models. Although B-twisted Landau-Ginzburg models have been discussed extensively in the literature, virtually no work has been done on A-twisted theories. In particular, we study examples of Landau-Ginzburg models over topologically nontrivial spaces – not just vector spaces – away from large-radius limits, so ...