论文标题
Bi-Yang-Baxter模型和SL（2）孔
Bi-Yang-Baxter Models and Sl(2)-orbits
论文作者
论文摘要
我们研究了二维非线性Sigma模型的可集成变形，并为一般组的关键Bi-Yang-Baxter模型提供了新的经典解决方案。以最简单的示例，即SL（2，R）Bi-Yang-Baxter模型，我们表明我们的溶液可以映射到已知的SU（2）Bi-Yang-Baxter模型的已知复合物溶液。通常，我们的解决方案是由所谓的SL（2）孔中构建的，在渐近杂货理论的研究中起着核心作用。这提供了进一步的证据，证明了综合的非线性sigma模型与霍奇理论基础的数学原理之间的密切关系。我们还提供了渐近杂货理论相关方面的基本介绍，并提供了一些简单的例子。
We study integrable deformations of two-dimensional non-linear sigma-models and present a new class of classical solutions to critical bi-Yang-Baxter models for general groups. For the simplest example, namely the SL(2,R) bi-Yang-Baxter model, we show that our solutions can be mapped to the known complex uniton solutions of the SU(2) bi-Yang-Baxter model. In general, our solutions are constructed from so-called Sl(2)-orbits that play a central role in the study of asymptotic Hodge theory. This provides further evidence for a close relation between integrable non-linear sigma-models and the mathematical principles underlying Hodge theory. We have also included a basic introduction to the relevant aspects of asymptotic Hodge theory and have provided some simple examples.
