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Review of AdS/CFT Integrability: An Overview
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
Superconformal Chern-Simons Theories and AdS(4)/CFT(3) Correspondence
We discuss the N = 2 superspace formulation of the N = 8 superconformal Bagger-Lambert-Gustavsson theory, and of the N = 6 superconformal Aharony-Bergman-Jafferis-Maldacena U(N) x U(N) Chern-Simons
Bethe ansatz in stringy sigma models
We compute the exact S-matrix and give the Bethe ansatz solution for three sigma-models which arise as subsectors of string theory in AdS(5)xS(5): Landau-Lifshitz model (non-relativistic sigma-model
Long-range gl(n) Integrable Spin Chains and Plane-Wave Matrix Theory
Quantum spin chains arise naturally from perturbative large-N field theories and matrix models. The Hamiltonian of such a model is a long-range deformation of nearest-neighbor type interactions.
Plane-wave Matrix Theory from N=4 Super Yang-Mills on RxS3
Recently a mass deformation of the maximally supersymmetric Yang-Mills quantum mechanics has been constructed from the supermembrane action in eleven dimensional plane-wave backgrounds. However, the
Charges of monopole operators in Chern-Simons Yang-Mills theory
We calculate the non-abelian R-charges of BPS monopole operators in three-dimensional gauge theories with $$ \mathcal{N} = 3 $$ supersymmetry. This class of models includes ABJM theory, the proposed
Interacting finite-size magnons
We explicitly construct a large class of finite-volume two-magnon string solutions moving on R × S 2 . In particular, by making use of the relationship between the O(3) sigma model and sine-Gordon
On the Integrability of large N Plane-Wave Matrix Theory
Abstract We show the three-loop integrability of large N plane-wave matrix theory in a subsector of states comprised of two complex light scalar fields. This is done by diagonalizing the theory's
World-sheet scattering in AdS5 ? S5 at two loops
We study the AdS5 × S5 sigma-model truncated to the near-flat-space limit to two-loops in perturbation theory. In addition to extending previously known one-loop results to the full SU(2|2)2 S-matrix
Double-soft limits of gluons and gravitons
A bstractThe double-soft limit of gluon and graviton amplitudes is studied in four dimensions at tree level. In general this limit is ambiguous and we introduce two natural ways of taking it: a
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