Gauge/Gravity Duality: Foundations and Applications
Abstract
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.
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According to AdS-CFT, the gravitational theory in the spacetime region M with boundary ∂M is dual to a quantum field theory on the boundary ∂M.
“According to AdS-CFT, the gravitational theory in the spacetime region M with boundary ∂M is dual to a quantum field theory on the boundary, ∂M .”
From Noether's Theorems and Energy in General Relativity (2021) · cites this paper as Ammon and Erdmenger (2015)
Cites
Anti de Sitter space and holography
Witten, E. (1998) · Advances in Theoretical and Mathematical Physics · doi:10.4310/atmp.1998.v2.n2.a2 · Cited by 13,070 · see citing works
Ryu, S., & Takayanagi, T. (2006) · Physical Review Letters · doi:10.1103/physrevlett.96.181602 · Cited by 4,302 · see citing works
Anti-de Sitter space, thermal phase transition, and confinement in gauge theories
Witten, E. (1998) · Advances in Theoretical and Mathematical Physics · doi:10.4310/atmp.1998.v2.n3.a3 · Cited by 3,915 · see citing works
Ryder, L. H. (1996) · doi:10.1017/cbo9780511813900 · Cited by 1,281 · see citing works
Aspects of Quantum Field Theory in Curved Space-Time
Fulling, S. A. (1989) · doi:10.1017/cbo9781139172073 · Cited by 1,121 · see citing works
Naturalness, Chiral Symmetry, and Spontaneous Chiral Symmetry Breaking
Hooft, G. ’. (1980) · Recent Developments in Gauge Theories · doi:10.1007/978-1-4684-7571-5_9 · Cited by 1,030 · see citing works
Quasinormal modes of AdS black holes and the approach to thermal equilibrium
Horowitz, G. T., & Hubeny, V. E. (2000) · Physical Review D · doi:10.1103/physrevd.62.024027 · Cited by 926 · see citing works
Entropy Generation and the Survival of Protogalaxies in an Expanding Universe
Weinberg, S. (1971) · The Astrophysical Journal · doi:10.1086/151073 · Cited by 734 · see citing works
Finite-Temperature Field Theory
Kapusta, J. I., & Gale, C. (2023) · Cambridge University Press eBooks · doi:10.1017/9781009401968 · Cited by 283 · see citing works
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Comparing Dualities and Gauge Symmetries
De Haro, S., Teh, N., & Butterfield, J. N. (2016) · arXiv · doi:10.48550/arxiv.1603.08334 · Cited by 13
Noether's Theorems and Energy in General Relativity
De Haro, S. (2021) · arXiv · doi:10.48550/arxiv.2103.17160 · Cited by 44 · see citing works
Experimental observation of hyperbolic spacetime dynamics
Himmel, J., Bacq, C., Maurya, K. C., Ehrhardt, M., Heinrich, M., Wolterink, T. A. W., Basteiro, P., Das, R. N., Meyer, R., Huber-Loyola, T., et al. (2026) · arXiv · doi:10.48550/arxiv.2606.09501
“As reviewed in [6], AdS 2 is a hyperbolic spacetime with negative curvature.”
Self-citation
- Authors
- Ammon, M., & Erdmenger, J.
- Affiliations
- Friedrich Schiller University Jena (DE)
- ORCID
- Ammon, Martin
- Venue
- Cambridge University Press eBooks
- Publisher
- Cambridge University Press
- Published
- 2015-04-09
- OpenAlex
- W1572307269
- Cited by
- 410
- References
- 9
- Citations by year
- 2026: 23 · 2025: 26 · 2024: 38 · 2023: 53 · 2022: 42 · 2021: 40 · 2020: 35 · 2019: 40 · 2018: 51 · 2017: 28 · 2016: 29 · 2015: 5
- FWCI
- 15.73
- Type
- book
- Language
- en
- Open access
- closed
- Locations
- Cambridge University Press eBooks (publishedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Particle physics theoretical and experimental studies
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Quantum Chromodynamics and Particle Interactions
- Keywords
- gauge/gravity duality, AdS/CFT correspondence, string theory, holography, finite temperature and density, hydrodynamics, QCD-like theories, quark-gluon plasma, condensed matter systems, gauge theory
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