Review of AdS/CFT Integrability: An Overview
Niklas Beisert,Changrim Ahn,Luis F. Alday,Zoltan Bajnok,James M. Drummond,James M. Drummond,Lisa Freyhult,Nikolay Gromov,Nikolay Gromov,Romuald A. Janik,Vladimir Kazakov,Vladimir Kazakov,Thomas Klose,Thomas Klose,Gregory P. Korchemsky,Charlotte Kristjansen,Marc Magro,Marc Magro,Tristan McLoughlin,Joseph A. Minahan,Rafael I. Nepomechie,Adam Rej,Radu Roiban,Sakura Schafer-Nameki,Sakura Schafer-Nameki,Christoph Sieg,Christoph Sieg,Matthias Staudacher,Matthias Staudacher,Alessandro Torrielli,Alessandro Torrielli,Arkady A. Tseytlin,Pedro Vieira,Dmytro Volin,Konstantinos Zoubos +34 more
Reads0
Chats0
TLDR
In this article, the authors present an overview of the achievements and the status of integrability in the context of the AdS/CFT correspondence as of the year 2010.Abstract:
This is the introductory chapter of a review collection on integrability in the context of the AdS/CFT correspondence. In the collection we present an overview of the achievements and the status of this subject as of the year 2010.read more
Citations
More filters
Posted ContentDOI
Scattering Amplitudes and the Positive Grassmannian
Nima Arkani-Hamed,Jacob L. Bourjaily,Freddy Cachazo,Alexander Goncharov,Alexander Postnikov,Jaroslav Trnka +5 more
TL;DR: In this paper, a direct connection between scattering amplitudes in planar four-dimensional theories and a remarkable mathematical structure known as the positive Grassmannian is established, and the all-loop integrand in N = 4 SYM is naturally represented in this way.
Journal ArticleDOI
TT¯-deformed 2D quantum field theories
TL;DR: In this article, the energy levels and one-point functions of a general 2D QFT in finite volume were studied in terms of a simple hydrodynamic equation, and it was shown that at the classical level, the deformation naturally maps the action of N massless free bosons into the Nambu-Goto action in static gauge, in N + 2 target space dimensions.
Journal ArticleDOI
Fermi gases in one dimension: From Bethe ansatz to experiments
TL;DR: In this paper, theoretical and experimental developments for one-dimensional Fermi gases are discussed. But the exact results obtained for Bethe ansatz integrable models of this kind enable the study of the nature and microscopic origin of a wide range of quantum many-body phenomena driven by spin population imbalance, dynamical interactions, and magnetic fields.
Book
Grassmannian Geometry of Scattering Amplitudes
Nima Arkani-Hamed,Jacob L. Bourjaily,Freddy Cachazo,Alexander Goncharov,Alexander Postnikov,Jaroslav Trnka +5 more
TL;DR: In this paper, a self-contained and authoritative analysis of the application of perturbative quantum field theory to the case of planar, maximally supersymmetric Yang-Mills theory is presented.
Journal ArticleDOI
QCD and strongly coupled gauge theories: challenges and perspectives
Nora Brambilla,S.I. Eidelman,Panagiota Foka,Susan Gardner,Andreas S. Kronfeld,Mark G. Alford,Reinhard Alkofer,M. Butenschoen,Thomas D. Cohen,Johanna Erdmenger,L. Fabbietti,Manfried Faber,Jose L. Goity,Jose L. Goity,B. Ketzer,B. Ketzer,Huey-Wen Lin,F. J. Llanes-Estrada,Harvey B. Meyer,P. Pakhlov,Elisabetta Pallante,M. I. Polikarpov,H. Sazdjian,Andreas Schmitt,W. M. Snow,Antonio Vairo,Ramona Vogt,Ramona Vogt,Aleksi Vuorinen,Hartmut Wittig,Peter Arnold,Panagiotis Christakoglou,P. Di Nezza,Zoltan Fodor,X. Garcia i Tormo,Roman Höllwieser,Malgorzata Anna Janik,Alexander Philipp Kalweit,D. Keane,Elias Kiritsis,Andre Mischke,R. Mizuk,G. Odyniec,Kyriakos Papadodimas,Antonio Pich,Roberto Pittau,Jian-Wei Qiu,Jian-Wei Qiu,Giulia Ricciardi,Carlos A. Salgado,Kai Schwenzer,N. G. Stefanis,G. von Hippel,V. I. Zakharov +53 more
TL;DR: In this paper, the progress, current status, and open challenges of QCD-driven physics, in theory and in experiment, are highlighted, highlighting how the strong interaction is intimately connected to a broad sweep of physical problems, in settings ranging from astrophysics and cosmology to strongly coupled, complex systems in particle and condensed-matter physics, as well as searches for physics beyond the Standard Model.
References
More filters
Journal ArticleDOI
The Large N limit of superconformal field theories and supergravity
TL;DR: In this article, it was shown that the large-N limits of certain conformal field theories in various dimensions include in their Hilbert space a sector describing supergravityon the product of anti-de Sitter spacetimes, spheres, and other compact manifolds.
Journal ArticleDOI
Anti De Sitter Space And Holography
TL;DR: In this article, it was shown that the Kaluza-Klein modes of Type IIB supergravity on $AdS_5\times {\bf S}^5$ match with the chiral operators of the super Yang-Mills theory in four dimensions.
Journal ArticleDOI
Gauge Theory Correlators from Non-Critical String Theory
TL;DR: In this paper, a boundary of the anti-deSitter space analogous to a cut-off on the Liouville coordinate of the two-dimensional string theory is introduced to obtain certain Green's functions in 3+1-dimensional N = 4 supersymmetric Yang-Mills theory with a large number of colors via non-critical string theory.
Posted Content
Anti de sitter space and holography
TL;DR: In this article, a correspondence between conformal field theory observables and those of supergravity was proposed, where correlation functions in conformal fields are given by the dependence of the supergravity action on the asymptotic behavior at infinity.
Journal ArticleDOI
Large N Field Theories, String Theory and Gravity
TL;DR: In this paper, the holographic correspondence between field theories and string/M theory is discussed, focusing on the relation between compactifications of string theory on anti-de Sitter spaces and conformal field theories.