Integrable deformations of sigma models
Integrable deformations of sigma models
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DOI：
10.1088/1751-8121/ac4a1e
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发表时间：
2021-09
期刊：
影响因子：
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通讯作者：
B. Hoare
中科院分区：
文献类型：
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作者：
B. Hoare
在这篇教学评论中，我们介绍了变形可积二维西格玛模型的系统方法。我们使用可积主手性模型和共形 Wess-Zumino-Witten 模型作为起点，探索它们的 Yang-Baxter 和电流-电流变形。这些模型之间存在着一个基于底层代数结构和世界表对偶性的错综复杂的关系网络，这一点在全文中得到了强调。我们最后讨论了对其他对称可积模型的推广，包括与 ZT 陪集及其变形相关的一些原始结果，以及在弦理论中的应用。本评论基于为“可集成性、二元性和变形”学校举办的讲座撰写的笔记，该讲座于 2021 年 8 月 23 日至 27 日在圣地亚哥德孔波斯特拉举行，并以虚拟形式进行。
In this pedagogical review we introduce systematic approaches to deforming integrable two-dimensional sigma models. We use the integrable principal chiral model and the conformal Wess–Zumino–Witten model as our starting points and explore their Yang–Baxter and current–current deformations. There is an intricate web of relations between these models based on underlying algebraic structures and worldsheet dualities, which is highlighted throughout. We finish with a discussion of the generalisation to other symmetric integrable models, including some original results related to ZT cosets and their deformations, and the application to string theory. This review is based on notes written for lectures delivered at the school ‘Integrability, Dualities and Deformations’, which ran from 23 to 27 August 2021 in Santiago de Compostela and virtually.