Topic
AdS/CFT correspondence
About: AdS/CFT correspondence is a research topic. Over the lifetime, 6660 publications have been published within this topic receiving 355520 citations.
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21 Oct 2015TL;DR: In this paper, the authors introduce the concept of quantum field theory and gauge theory, and introduce the notion of supergravity, and the concepts of black holes and p-branes.
Abstract: 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.
115 citations
Posted Content•
TL;DR: In this article, the authors discuss classical gravitational aspects of the AdS/CFT correspondence, with the aim of obtaining a rigorous (mathematical) understanding of the semi-classical limit of the gravitational partition function.
Abstract: We discuss classical gravitational aspects of the AdS/CFT correspondence, with the aim of obtaining a rigorous (mathematical) understanding of the semi-classical limit of the gravitational partition function. The paper surveys recent progress in the area, together with a selection of new results and open problems.
115 citations
TL;DR: In this paper, the complexity of an efficient quantum circuit building local thermofield-double-like entanglement of thermal-sized patches does not depend on the separation of the patches so entangled.
Abstract: We study the “complexity equals volume” (CV) and “complexity equals action” (CA) conjectures by examining moments of of time symmetry for AdS3 wormholes having n asymptotic regions and arbitrary (orientable) internal topology. For either prescription, the complexity relative to n copies of the M = 0 BTZ black hole takes the form ΔC = αcχ, where c is the central charge and χ is the Euler character of the bulk time-symmetric surface. The coefficients α
V
= −4π/3, α
A
= 1/6 defined by CV and CA are independent of both temperature and any moduli controlling the geometry inside the black hole. Comparing with the known structure of dual CFT states in the hot wormhole limit, the temperature and moduli independence of α
V
, α
A
implies that any CFT gate set defining either complexity cannot be local. In particular, the complexity of an efficient quantum circuit building local thermofield-double-like entanglement of thermal-sized patches does not depend on the separation of the patches so entangled. We also comment on implications of the (positive) sign found for α
A
, which requires the associated complexity to decrease when handles are added to our wormhole.
115 citations
TL;DR: In this paper, it was shown that certain classical string configurations in AdS 5 × T 1, 1 are chaotic and that the largest Lyapunov exponent is positive in such configurations.
115 citations
TL;DR: In this article, the authors studied the phase transition in the dual field theory both for non-vanishing temperatures and in the extremal limit and showed that the new phase is a charged dilatonic black hole.
Abstract: We study Einstein-Maxwell-dilaton gravity models in four-dimensional antide Sitter (AdS) spacetime which admit the Reissner-Nordstrom (RN) black hole solution. We show that below a critical temperature the AdS-RN solution becomes unstable against scalar perturbations and the gravitational system undergoes a phase transition. We show using numerical calculations that the new phase is a charged dilatonic black hole. Using the AdS/CFT correspondence we discuss the phase transition in the dual field theory both for non-vanishing temperatures and in the extremal limit. The extremal solution has a Lifshitz scaling symmetry. We discuss the optical conductivity in the new dual phase and find interesting behavior at low frequencies where it shows a “Drude peak”. The resistivity varies with temperature in a non-monotonic way and displays a minimum at low temperatures which is reminiscent of the celebrated Kondo effect.
115 citations