Lambda模型的辅助场形变
Auxiliary Field Deformations of the Lambda Model
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中文总结 AI 辅助
本文提出lambda模型的辅助场形变，通过Lax联络和哈密顿分析验证其可积结构（Maillet结构与经典Yangian）保持不变，仅改变经典动力学。
中文摘要 AI 辅助
许多可积西格玛模型的例子都允许存在一族可积形变，这些形变涉及将未形变的“种子”理论与具有代数运动方程的辅助场耦合。在本文中，我们将这一范式应用于种子理论为lambda模型的情形，该模型在Wess-Zumino-Witten模型与主手征模型的非阿贝尔T对偶之间进行插值。我们提出了lambda模型的一种辅助场形变，并展示了一个Lax联络，其平坦性在施加代数场方程后等价于剩余的运动方程。我们还对形变理论进行了哈密顿分析，验证其满足arXiv:2605.18213中定理的假设，这些定理保证了（i）该模型具有确保其守恒荷对合的Maillet结构，以及（ii）该理论具有经典Yangian。因此，与其他情形一样，lambda模型的辅助场形变改变了其经典动力学，而可积结构基本保持不变。
英文摘要
Many examples of integrable sigma models admit families of integrable deformations that involve coupling the undeformed ``seed'' theory to auxiliary fields with algebraic equations of motion. In this work, we apply this paradigm to the case where the seed theory is the lambda model, which interpolates between the Wess-Zumino-Witten model and the non-Abelian T-dual of the principal chiral model. We present an auxiliary field deformation of the lambda model and exhibit a Lax connection whose flatness is equivalent to the remaining equations of motion after imposing the algebraic field equations. We also carry out a Hamiltonian analysis of the deformed theory, verifying that it obeys the assumptions of theorems in arXiv:2605.18213 which guarantee both (i) that the model enjoys the Maillet structure that ensures involution of its conserved charges, and (ii) that the theory possesses a classical Yangian. Thus, as in other cases, the auxiliary field deformation of the lambda model changes its classical dynamics while leaving the integrable structure essentially unchanged.
发表机构
- Northeastern University（东北大学）
- Stony Brook University（石溪大学）
- Brooklyn College of the CUNY（纽约市立大学布鲁克林学院）
机构由 AI 辅助整理，请以论文原文为准。
