We present the Hamiltonian formulation of the recently constructed integrable theories of [49]. These theories turn out to be canonically equivalent to the sum of an asymmetrically gauged CFT and of the most general λ-deformed model of [21]. Using the Hamiltonian formalism, we prove that the full set of conserved charges of the models of [49] are in involution, ensuring their Hamiltonian integrability. Finally, we show that the equations of motion of these theories can be put in the form of zero curvature Lax connections.

中文翻译：

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可积理论网的哈密顿可积性

我们提出了最近构建的 [49] 可积理论的哈密顿公式。事实证明，这些理论在规范上等同于不对称测量的 CFT 和[21] 中最一般的λ变形模型的总和。使用哈密顿形式主义，我们证明 [49] 模型的全套守恒电荷是对合的，确保它们的哈密顿可积性。最后，我们证明了这些理论的运动方程可以以零曲率 Lax 连接的形式表示。