高自旋理论导论

English | PDF EPUB (True) | 2024 | 465 Pages | ISBN : 3031596552 | 41.7 MB

The book offers a pedagogical introduction to higher-spin gauge theories. These theories build upon fundamental gauge theories that are crucial for understanding core interactions. Electromagnetism and nuclear forces are associated with gauge fields of spin 1, while gravity can be conceptualized as a gauge theory of spin 2. This prompts the intriguing inquiry: do higher-spin gauge theories exist? Such theories would extend gravity, incorporating massless gauge fields of spins higher than two. They appear to bear connections to string theory and offer a captivating framework for exploring gravity and aspects of quantum gravity. The book initiates with a primer offering a comprehensive discussion on higher spins, delving into the challenges of establishing coherent interactions. It then explores methodologies to surmount these challenges within three-dimensional space-time. Furthermore, it investigates the emergence of asymptotic symmetry algebras, establishing links to a holographic dual conformal theory. The final chapter introduces Vasiliev’s approach to higher-spin gauge theory in four dimensions.

Designed for advanced students and young researchers in theoretical physics and mathematical physics, the book aims to elucidate fundamental ideas, concepts, and tools underpinning higher-spin gauge theories. The inclusion of numerous exercises complements and illustrates the content, preparing readers for engagement with the subject's original literature and ongoing developments. To fully engage with the book's arguments, a prerequisite understanding of field theories and conventional gauge theories, including gravity, is assumed.

英文| PDF EPUB（真）|2024|465页|国际标准图书编号：3031596552|41.7 MB 这本书对更高自旋规理论进行了教学介绍。这些理论建立在对理解核心相互作用至关重要的基本规范理论之上。电磁力和核力与自旋1的规范场有关，而引力可以被概念化为自旋2的规范理论。这引发了一个有趣的探究：是否存在更高的自旋规范理论？这些理论将扩展引力，纳入高于2的无质量自旋规范场。它们似乎与弦理论有关，并为探索引力和量子引力的各个方面提供了一个迷人的框架。这本书以一本入门书开始，对更高自旋进行了全面的讨论，深入探讨了建立连贯相互作用的挑战。然后，它探索了在三维时空中克服这些挑战的方法。此外，它还研究了渐近对称代数的出现，建立了与全息对偶共形理论的联系。最后一章介绍了瓦西里耶夫在四维空间中实现高自旋规范理论的方法。 本书专为理论物理和数学物理领域的高级学生和年轻研究人员而设计，旨在阐明支撑更高自旋规范理论的基本思想、概念和工具。众多练习的加入补充并说明了内容，为读者接触该主题的原始文献和正在进行的发展做好了准备。为了充分参与本书的论点，假设对场论和传统规范理论（包括引力）有先决条件的理解。

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