Introduction to the AdS/CFT correspondence

著者

書誌事項

Introduction to the AdS/CFT correspondence

Horaţiu Năstase

Cambridge University Press, 2015

  • : hardback

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注記

Includes bibliographical references (p. [430]-433) and index

内容説明・目次

内容説明

Providing a pedagogical introduction to the rapidly developing field of AdS/CFT correspondence, this is one of the first texts to provide an accessible introduction to all the necessary concepts needed to engage with the methods, tools and applications of AdS/CFT. Without assuming anything beyond an introductory course in quantum field theory, it begins by guiding the reader through the basic concepts of field theory and gauge theory, general relativity, supersymmetry, supergravity, string theory and conformal field theory, before moving on to give a clear and rigorous account of AdS/CFT correspondence. The final section discusses the more specialised applications, including QCD, quark-gluon plasma and condensed matter. This book is self-contained and learner-focused, featuring numerous exercises and examples. It is essential reading for both students and researchers across the fields of particle, nuclear and condensed matter physics.

目次

  • Preface
  • Introduction
  • Part I. Background: 1. Elements of quantum field theory and gauge theory
  • 2. Basics of general relativity. Anti-de Sitter space
  • 3. Basics of supersymmetry
  • 4. Basics of supergravity
  • 5. Kaluza-Klein dimensional reduction
  • 6. Black holes and p-branes
  • 7. String theory actions and spectra
  • 8. Elements of conformal field theory
  • 9. D-branes
  • Part II. Basics of AdS/CFT for N = 4 SYM vs AdS5 x S5: 10. The AdS/CFT correspondence: motivation, definition and spectra
  • 11. Witten prescription and 3-point correlator calculations
  • 12. Holography in Lorentzian signature: Poincare and global
  • 13. Solitonic objects in AdS/CFT
  • 14. Quarks and the Wilson loop
  • 15. Finite temperature and N = 4 SYM plasmas
  • 16. Scattering processes and gravitational shockwave limit
  • 17. The pp-wave correspondence
  • 18. Spin chains
  • Part III. AdS/CFT Developments and Gauge-Gravity Dualities: 19. Other conformal cases
  • 20. The 3 dimensional ABJM model vs. AdS4 x CP3
  • 21. Gravity duals
  • 22. Holographic renormalization
  • 23. RG flow between fixed points
  • 24. Phenomenological gauge-gravity duality I: AdS/QCD
  • 25. Phenomenological gauge-gravity duality II: AdS/CMT
  • 26. Gluon scattering: the Alday-Maldacena prescription
  • 27. Holographic entanglement entropy: the Ryu-Takayanagi prescription.

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