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We discuss special quantum group (secret) symmetries of the integrable system associated to the AdS/CFT correspondence.
Solutions of the classical Yang-Baxter equation for simple Lie algebras
A. A. Belavin and V. G. Drinfeld · 1982
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Classical Yang-Baxter equation for simple Lie algebras
A. A. Belavin and V. G. Drinfeld · 1983
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Triangle equation for simple Lie algebras
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Solutions of the Classical Yang-Baxter Equation for Simple Superalgebras
D. A. Leites and V. V. Serganova · 1984
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Automorphisms of Simple Lie Superalgebras
V. V. Serganova · 1985
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Quantum groups
V. G. Drinfeld · 1987
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A new realization of Yangians and quantum affine algebras
V. G. Drinfeld · 1988
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Finite dimensional representations of the Lie superalgebra gl(2/2) in a gl(2) x gl(2) basis. 2. Nontypical representations
T. D. Palev and N. I. Soilova · 1990
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Solutions of the graded classical Yang-Baxter equation and integrable models
Rui-bin Zhang, M. D. Gould, and A. J. Bracken · 1991
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A Guide To Quantum Groups
V. Chari and A. Pressley · 1994
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Yangian double
S. M. Khoroshkin and V. N. Tolstoy · 1996
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Super-Yangian double and its central extension
Yao-Zhong Zhang · 1997
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The large N limit of superconformal field theories and supergravity
Juan Martin Maldacena · 1998
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Lectures on Quantum Groups
P. Etingof and O. Schiffman · 1998
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Super Poincare covariant quantization of the superstring
Nathan Berkovits · 2000
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Central extensions of Lie superalgebras
K. Iohara and Y. Koga · 2001
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The Bethe-ansatz for 𝒩 = 4 \mathcal{N}=4 super Yang-Mills
J. A. Minahan and K. Zarembo · 2003
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Yangians of classical Lie superalgebras: Basic constructions, quantum double and universal R-matrix
V. Stukopin · 2004
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Constructing r-matrices on simple Lie superalgebras
G. Karaali · 2004
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Introduction to Yangian symmetry in integrable field theory
N. J. MacKay · 2005
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A unified and complete construction of all finite dimensional irreducible representations of g l ( 2 | 2 ) gl(2|2)
Yao-Zhong Zhang and Mark D. Gould · 2005
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Tensor products of p s l ( 2 | 2 ) psl(2|2) representations
Gerhard Gotz, Thomas Quella, and Volker Schomerus · 2005
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The magnon kinematics of the AdS/CFT correspondence
Cesar Gomez and Rafael Hernandez · 2006
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On the Hopf algebra structure of the AdS/CFT S-matrix
Jan Plefka, Fabian Spill, and Alessandro Torrielli · 2006
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The S-Matrix of AdS/CFT and Yangian Symmetry
Niklas Beisert · 2006
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Magnon bound states and the AdS/CFT correspondence
Nick Dorey · 2006
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On the scattering of magnon boundstates
Heng-Yu Chen, Nick Dorey, and Keisuke Okamura · 2006
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A New Lie Bialgebra Structure on s l ( 2 , 1 ) sl(2,1)
G. Karaali · 2006
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Yangians and Classical Lie Algebras
A. Molev · 2007
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Gauss Decomposition of the Yangian Y ( 𝔤 𝔩 ( m | n ) ) Y(\mathfrak{gl}(m|n))
L. Gow · 2007
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A Secret Symmetry of the AdS/CFT S-matrix
Takuya Matsumoto, Sanefumi Moriyama, and Alessandro Torrielli · 2007
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The Analytic Bethe Ansatz for a Chain with Centrally Extended s u ( 2 | 2 ) su(2|2) Symmetry
Niklas Beisert · 2007
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On Yangian and Long Representations of the Centrally Extended s u ( 2 | 2 ) su(2|2) Superalgebra
Gleb Arutyunov, Marius de Leeuw, and Alessandro Torrielli · 2009
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The Bound State S-Matrix for AdS5 x S5 Superstring
Gleb Arutyunov, Marius de Leeuw, and Alessandro Torrielli · 2009
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The Classical r-matrix of AdS/CFT and its Lie Bialgebra Structure
Niklas Beisert and Fabian Spill · 2009
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Yangian symmetry of scattering amplitudes in N=4 super Yang-Mills theory
James M. Drummond, Johannes M. Henn, and Jan Plefka · 2009
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Magnons, their Solitonic Avatars and the Pohlmeyer Reduction
Timothy J. Hollowood and J.Luis Miramontes · 2009
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UV finiteness of Pohlmeyer-reduced form of the AdS(5) x S**5 superstring theory
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Classical r-matrix of the s u ( 2 | 2 ) su(2|2) SYM spin-chain
Alessandro Torrielli · 2007
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The Zamolodchikov-Faddeev algebra for 𝐴𝑑𝑆 5 × S 5 \mathit{AdS}_{5}\times\mathit{S}^{5} superstring
Gleb Arutyunov, Sergey Frolov, and Marija Zamaklar · 2007
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The asymptotic spectrum of the N = 4 super Yang-Mills spin chain
Heng-Yu Chen, Nick Dorey, and Keisuke Okamura · 2007
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Magnon bound-state scattering in gauge and string theory
Radu Roiban · 2007
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Worldsheet scattering in 𝐴𝑑𝑆 5 × S 5 \mathit{AdS}_{5}\times\mathit{S}^{5}
Thomas Klose, Tristan McLoughlin, Radu Roiban, and Konstantin Zarembo · 2007
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A Yangian Double for the AdS/CFT Classical r-matrix
Sanefumi Moriyama and Alessandro Torrielli · 2007
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R. Roiban and Arkady A. Tseytlin · 2009
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Strings on Semisymmetric Superspaces
K. Zarembo · 2010
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The S-matrix of the A d S 5 x S 5 AdS_{5}xS^{5} superstring
Marius de Leeuw · 2010
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Yangian symmetry and bound states in AdS/CFT boundary scattering
Changrim Ahn and Rafael I. Nepomechie · 2010
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On the reflection of magnon bound states
Niall MacKay and Vidas Regelskis · 2010
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Yangian symmetry of the Y=0 maximal giant graviton
Niall MacKay and Vidas Regelskis · 2010
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The Grassmannian Origin Of Dual Superconformal Invariance
Nima Arkani-Hamed, Freddy Cachazo, and Clifford Cheung · 2010
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Tree-level S-matrix of Pohlmeyer reduced form of AdS(5) x S**5 superstring theory
B. Hoare and A.A. Tseytlin · 2010
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The Secret symmetries of the AdS/CFT reflection matrices
Vidas Regelskis · 2011
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Bonus Yangian Symmetry for the Planar S-Matrix of N=4 Super Yang-Mills
Niklas Beisert and Burkhard U.W. Schwab · 2011
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Nonlocal Charges for Bonus Yangian Symmetries of Super-Yang-Mills
Nathan Berkovits and Andrei Mikhailov · 2011
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The Quantum Affine Origin of the AdS/CFT Secret Symmetry
Marius de Leeuw, Vidas Regelskis, and Alessandro Torrielli · 2011
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A Quantum Affine Algebra for the Deformed Hubbard Chain
Niklas Beisert, Wellington Galleas, and Takuya Matsumoto · 2011
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Integrable achiral D5-brane reflections and asymptotic Bethe equations
Diego H. Correa, Vidas Regelskis, and Charles A.S. Young · 2011
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Achiral boundaries and the twisted Yangian of the D5-brane
Niall MacKay and Vidas Regelskis · 2011
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Yangian symmetry of boundary scattering in AdS/CFT and the explicit form of bound state reflection matrices
Laszlo Palla · 2011
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The Bound State S-matrix of the Deformed Hubbard Chain
Marius de Leeuw, Takuya Matsumoto, and Vidas Regelskis · 2011
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Towards the quantum S-matrix of the Pohlmeyer reduced version of A d S 5 x S 5 AdS_{5}xS^{5} superstring theory
B. Hoare and A.A. Tseytlin · 2011
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Review of AdS/CFT Integrability: An Overview
Niklas Beisert, Changrim Ahn, Luis F. Alday, Zoltan Bajnok, James M. Drummond, et al · 2012
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Reflection algebra, Yangian symmetry and bound-states in AdS/CFT
Niall MacKay and Vidas Regelskis · 2012
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q-Deformation of the A d S 5 x S 5 AdS_{5}xS^{5} Superstring S-matrix and its Relativistic Limit
Ben Hoare, Timothy J. Hollowood, and J. Luis Miramontes · 2012
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