Gauge/Gravity Duality: Foundations and Applications (Hardcover)

Gauge/gravity duality creates new links between quantum theory and gravity. It has led to new concepts in mathematics and physics, and provides new tools to solve problems in many areas of theoretical physics. This book is the first textbook on this important topic, enabling graduate students and researchers in string theory and particle, nuclear and condensed matter physics to get acquainted with the subject. Focusing on the fundamental aspects as well as on the applications, this textbook guides readers through a thorough explanation of the central concepts of gauge/gravity duality. For the AdS/CFT correspondence, it explains in detail how string theory provides the conjectured map. Generalisations to less symmetric cases of gauge/gravity duality and their applications are then presented, in particular to finite temperature and density, hydrodynamics, QCD-like theories, the quark-gluon plasma and condensed matter systems. The textbook features a large number of exercises, with solutions available online at www.cambridge.org/9781107010345.

量子理論和重力之間的量子/重力對偶創造了新的聯繫。它在數學和物理學領域引入了新的概念，並提供了解決理論物理學許多領域問題的新工具。這本書是這一重要主題的第一本教科書，使得研究弦理論、粒子、核子和凝聚態物理的研究生和研究人員能夠熟悉這一主題。本教科書專注於基本概念以及應用，通過詳細解釋量子/重力對偶的核心概念，引導讀者深入理解。對於AdS/CFT對應，它詳細解釋了弦理論如何提供所推測的映射。然後介紹了對稱性較低的量子/重力對偶的推廣及其應用，特別是對於有限溫度和密度、流體力學、類似量子色動力學的理論、夸克-膠子等電漿和凝聚態系統。本教科書提供了大量練習題，解答可在www.cambridge.org/9781107010345上線獲得。