超对称Bullough-Dodd模型的prolongation分析

On the Supersymmetrization of Bullough-Dodd Model: a Prolongation Analysis

在扭曲仿射代数 A(2 )2 上建立了超对称的 Bullough-Dodd模型 .Prolongation方法的研究表明 ,该模型承认一个 Lax pair,从 Lax意义上证明该模型可积 .另外 ,当该超对称模型的所有费米量为零时 ,该系统就定义了一个新奇的由单标量玻色场指数相互作用构成的可积模型 .这个发现还打破了长久以来的一种认识 :只有 sinh-Gordon和标准Bullough-Dodd模型是 Liouville模型 .

We superise the Bullough-Dodd model which is the one based on the twisted affine Lie algebra A (2) 2. The prolongation study shows that the superised model admits a Lax pair representation. It is also pointed out that the special solution manifold of the superised equation at which all fermions are equal to zero defines a novel integrable equation consisted of a single bosonic field with exponential interaction. This breaks a long-term view, which says that sinh-Gordon model and standard Bullough-Dodd model are the only two Liouville ones.