Estudamos hierarquias integráveis. Essas hierarquias possuem infinitas equações de movimento que emergem de uma mesma estrutura algébrica. Algumas equações são conhecidas como mKdV e Sinh-Gordon, estas equações possuem ...

In this work we study the thermodynamics of integrable spin chains, like the Heisenberg model and it's spin-s generalization with competing interactions. We have used the quantum transfer matrix approach and obtained a ...

In this thesis we tackled two di erent problems of quantum integrability. We derived nite sets of non-linear integral equations to describe physical properties of quantum chains invariant under the super-algebras su(2|1) ...

In this thesis we present solutions of the graded boundary YANG-BAXTER equations for vertex models with ���� [osp(2|2��)(2)] symmethy.

The structure of Kac-Moody algebras and its representations constitute a basic ingredient for the construction of integrable hierarchies and its soliton solutions (obtained from the dressing method). Several models within ...

In this work we first review some of the techniques relevant to the theory of two-dimensional integrable models. We apply the Quantum Inverse Scattering approach to a class of three-state vertex model with both closed and ...

Apresentamos a formulação da hierarquia mKdV e sinh-Gordon supersimétrica com N = 1 baseada na superálgebra de Kac-Moody sl(2,1). Obtivemos soluções para até quatro vértices para ambos os modelos de dressing e também ...

Apresentamos a formulação da hierarquia mKdV e sinh-Gordon supersimétrica com N = 1 baseada na superálgebra de Kac-Moody sl(2,1). Obtivemos soluções para até quatro vértices para ambos os modelos de dressing e também ...