In this paper we study a multi-species disordered model on the Nishimori line. The typical properties of this line, a set of identities and inequalities among correlation functions, allow us to prove the replica symmetry i.e. the concentration of the order parameter. When the interaction structure is elliptic we rigorously compute the exact solution of the model in terms of a finite-dimensional variational principle and we study its properties.

中文翻译：

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西森线上的多物种平均场自旋玻璃

在本文中，我们研究了西森线的多物种无序模型。这条线的典型特性，相关函数之间的一组恒等式和不等式，使我们能够证明副本对称性，即阶参数的集中。当相互作用结构为椭圆时，我们根据有限维变分原理严格计算模型的精确解，并研究其性质。