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 × S5: 10. The AdS/CFT correspondence: motivation, definition and spectra; 11. Witten prescription and 3-point correlator calculations; 12. Holography in Lorentzian signature: Poincaré 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 × 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.
A pedagogical and self-contained introduction to AdS/CFT correspondence aimed at graduate students and researchers across theoretical physics.
Horaţiu Năstase is a Researcher at the Institute for Theoretical Physics at the State University of São Paulo, Brazil. To date, his career has spanned four continents. As an undergraduate he studied at the University of Bucharest and Copenhagen University. He later completed his PhD at the State University of New York, Stony Brook, before moving to the Institute for Advanced Study, Princeton, where his collaboration with David Berenstein and Juan Maldacena defined the pp-wave correspondence. He has also held research and teaching positions at Brown University and the Tokyo Institute of Technology.
'A remarkably comprehensive introduction to an important subject,
which should be accessible to those with some basic background in
quantum field theory and general relativity.' Michael Dine,
University of California, Santa Cruz
'Horaƫiu Năstase has managed to capture both the depth and breadth
of the gauge/gravity duality in a wonderfully pedagogical manner. I
can very well see Introduction to the AdS/CFT Correspondence
becoming a standard reference for both graduate students as well as
seasoned researchers in the field.' Jeff Murugan, University of
Cape Town
'A welcome survey of what has become a broad and well-established
area of research … a useful reference for students entering the
field as well as for experienced practitioners, both in string
theory and in other communities.' Diego Trancanelli, University of
São Paulo
'A pedagogical book on this sophisticated and rapidly developing
subject is clearly welcome. Horaţiu Năstase's very readable
Introduction to the AdS/CFT Correspondence is such a book. Written
by a well-known expert on the AdS/CFT correspondence and its
applications, the book is intended for graduate students and
researchers who want to be acquainted with the new holographic
techniques. … many details presented by Năstase are not available
in existing books … [The] book is written in a student-friendly
style with detailed explanations and many worked-out calculations.
Each chapter ends with a summary of important concepts and a set of
exercises. It will certainly be of great help both to those
teaching an advanced graduate course on the AdS/CFT correspondence
and to students or researchers planning to learn it by themselves.
Introduction to AdS/CFT Correspondence is a valuable addition to
the small set of existing books on the topic.' Alfonso V. Ramallo,
Physics Today
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