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Gauge/Gravity Duality
Foundations and Applications


  • Date Published: April 2015
  • availability: Available
  • format: Hardback
  • isbn: 9781107010345

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About the Authors
  • 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

    • This is the first textbook on gauge/gravity duality, providing a comprehensive introduction to this new and widely pursued research area
    • Takes a pedagogical approach and features many exercises, providing readers with the tools to become active researchers in this field
    • Focuses on fundamental aspects as well as on applications, presenting a thorough explanation of the central concepts of gauge/gravity duality
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    Reviews & endorsements

    'An excellent introduction to the gauge/gravity duality and its main applications. A valuable guide both for graduate students and experienced researchers.' Juan Maldacena, Institute for Advanced Study, Princeton, New Jersey

    'This clear and precise book should be very helpful to any student or researcher that is interested in the gauge/gravity correspondence and its field theory applications.' Ofer Aharony, Weizmann Institute of Science, Rehovot

    'A well-structured and illustrated introduction … and an in depth and up-to-date discussion of all the essential features of the gauge/gravity correspondence.' Andreas Karch, University of Washington, Seattle

    'Written by experts in the field, this book is remarkable for its broad survey of one of the most cutting-edge topics in theoretical physics of the past ten years.' Nick Evans, University of Southampton

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    Product details

    • Date Published: April 2015
    • format: Hardback
    • isbn: 9781107010345
    • length: 548 pages
    • dimensions: 246 x 191 x 30 mm
    • weight: 1.32kg
    • contains: 72 b/w illus. 156 exercises
    • availability: Available
  • Table of Contents

    Part I. Prerequisites:
    1. Elements of field theory
    2. Elements of gravity
    3. Symmetries in quantum field theory
    4. Introduction to superstring theory
    Part II. Gauge/Gravity Duality:
    5. AdS/CFT correspondence
    6. Tests of the AdS/CFT correspondence
    7. Integrability and scattering amplitudes
    8. Further examples of AdS/CFT
    9. Holographic renormalisation group flows
    10. Duality with D-branes in supergravity
    11. Finite temperature and density
    Part III. Applications:
    12. Linear response and hydrodynamics
    13. QCD and holography: confinement and chiral symmetry breaking
    14. QCD and holography: finite temperature and density
    15. Strongly coupled condensed matter systems

  • Resources for

    Gauge/Gravity Duality

    Martin Ammon, Johanna Erdmenger

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  • Authors

    Martin Ammon, Friedrich-Schiller-Universität, Jena, Germany
    Martin Ammon is a Junior Professor at Friedrich Schiller University, Jena, Germany, leading a research group on gauge/gravity duality.

    Johanna Erdmenger, Max-Planck-Institut für Physik, Munich
    Johanna Erdmenger is a Research Group Leader at the Max Planck Institute for Physics (Werner Heisenberg Institute), Munich, Germany. She is one of the pioneers of applying gauge/gravity duality to elementary particle, nuclear and condensed matter physics.

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