Localization and AdS/CFT Correspondence

Abstract

An interplay between localization and holography is reviewed with the emphasis on the AdS_5/CFT_4 correspondence.

This is a contribution to the review volume `Localization techniques in quantum field theories' (eds. V. Pestun and M. Zabzine) which contains 17 Chapters. The complete volume is summarized in arXiv:1608.02952 and it can be downloaded at https://arxiv.org/src/1608.02952/anc/LocQFT.pdf or http://pestun.ihes.fr/pages/LocalizationReview/LocQFT.pdf

References in corpus (23)

• Holographic Wilson Loops
• Wilson Loops of Anti-symmetric Representation and D5-branes
• Supersymmetric Wilson loops on S^3
• Localization on Hopf surfaces
• More supersymmetric Wilson loops
• Wilson loops: From four-dimensional SYM to two-dimensional YM
• Wilson loop correlators at strong coupling: from matrices to bubbling geometries
• Nonlinear waves in AdS/CFT correspondence
• The 1/N correction in the D3-brane description of circular Wilson loop at strong coupling
• Correlators of supersymmetric Wilson-loops, protected operators and matrix models in N=4 SYM
• Wilson Loops in N=2 Superconformal Yang-Mills Theory
• Super-Rényi Entropy & Wilson Loops for N=4 SYM and their Gravity Duals
• Cusped SYM Wilson loop at two loops and beyond
• N = 4 Super-Yang-Mills on Conic Space as Hologram of STU Topological Black Hole
• N=2* Super-Yang-Mills Theory at Strong Coupling
• Semi-classical open string corrections and symmetric Wilson loops
• Computing Wilson lines with dielectric branes
• The holographic supersymmetric Casimir energy
• Supersymmetric localization in two dimensions
• Localization at large N in Chern-Simons-matter theories
• Introduction to localization in quantum field theory
• N=2 SUSY gauge theories on S^4
• The 1/2 BPS 't Hooft loops in N=4 SYM as instantons in 2d Yang-Mills

Cited by in corpus (31)

• Localization techniques in quantum field theories
• N=2 Conformal SYM theories at large N
• Perturbative computation of string one-loop corrections to Wilson loop minimal surfaces in $Ad{S}_5\times S^5$
• Holographic spacetime, black holes and quantum error correcting codes: A review
• Holomorphic blocks and the 5d AGT correspondence
• String corrections to circular Wilson loop and anomalies
• Connected correlator of 1/2 BPS Wilson loops in $\mathcal{N}=4$ SYM
• Introduction to localization in quantum field theory
• On the structure of non-planar strong coupling corrections to correlators of BPS Wilson loops and chiral primary operators
• One-loop Wilson loops and the particle-interface potential in AdS/dCFT
• N=2 SUSY gauge theories on S^4
• Exact strong coupling results in $\mathcal{N}$=2 $Sp(2N)$ superconformal gauge theory from localization
• A one-dimensional theory for Higgs branch operators
• Matrix models for 5d super Yang-Mills
• Consistent Kaluza-Klein truncations and two-dimensional gauged supergravity
• Dyson equations for correlators of Wilson loops
• Phase Transition of Anti-Symmetric Wilson Loops in $\mathcal{N}=4$ SYM
• Linear Quivers at Large-$N$
• On topological recursion for Wilson loops in $\mathcal{N}=4$ SYM at strong coupling
• Perturbative solutions of $\mathcal{N}=1^{\ast }$ holography on $S^4$
• Circular Wilson loops in defect $\mathcal{N}$=4 SYM: phase transitions, double-scaling limits and OPE expansion
• Bootstrability in Defect CFT: Integrated Correlators and Sharper Bounds
• The Cross Anomalous Dimension in Maximally Supersymmetric Yang--Mills Theory
• BPS Wilson loop in $\mathcal{N}=2$ superconformal $SU(N)$ "orientifold" gauge theory and weak-strong coupling interpolation
• Wilson Loops and Integrability
• Exact 1/N expansion of Wilson loop correlators in $\mathcal{N}=4$ Super-Yang-Mills theory
• Equivariant and supersymmetric localization in QFT
• Matrix models from localization of five-dimensional supersymmetric noncommutative U(1) gauge theory
• Strong coupling expansion of free energy and BPS Wilson loop in $\mathcal{N}=2$ superconformal models with fundamental hypermultiplets
• Large $N$ limits of supersymmetric quantum field theories: A pedagogical overview
• Position dependence of the holographic entanglement entropy for an accelerating quark-antiquark pair