二维共形场论及以后。从持续时尚中吸取的教训
Two-dimensional conformal field theory and beyond. Lessons from a continuing fashion
摘要：
二维共形场论（CFT）有几个来源：寻找量子场论的简单例子，描述表面临界现象，研究（超）弦真空。在本概述的主题，我们强调的作用，CFT在弥合数学和量子场论之间的差距，并讨论了一些新的物理概念，出现在CFT模型的研究：反常尺寸，理性CFT，辫子群统计。在文章的最后，我们分享了彭罗斯最近表达的对基础理论物理学中一些主导趋势的担忧。
英文摘要：
Two-dimensional conformal field theory (CFT) has several sources: the search for simple examples of quantum field theory, the description of surface critical phenomena, the study of (super)string vacua. In the present overview of the subject we emphasize the role of CFT in bridging the gap between mathematics and quantum field theory and discuss some new physical concepts that emerged in the study of CFT models: anomalous dimensions, rational CFT, braid group statistics. In an aside, at the end of the paper, we share the misgivings, recently expressed by Penrose, about some dominant trends in fundamental theoretical physics.
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