A secret symmetry of the AdS/CFT S-matrix
TLDR
In this paper, a new quantum Yangian symmetry of the AdS/CFT S-matrix was discovered, which complements the original (2|2) symmetry to (2.2) and does not have a Lie algebra analog.Abstract:
We find a new quantum Yangian symmetry of the AdS/CFT S-matrix, which complements the original (2|2) symmetry to (2|2) and does not have a Lie algebra analog. Our finding is motivated by the Yangian double structure discovered at the classical level.read more
Citations
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On string S-matrix, bound states and TBA
Gleb Arutyunov,Sergey Frolov +1 more
TL;DR: In this article, the authors studied the effect of finite J effects on the light-cone AdS5???S5 superstring by means of the Thermodynamic Bethe Ansatz.
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Quantum deformations of the one-dimensional Hubbard model
Niklas Beisert,Peter Koroteev +1 more
TL;DR: In this article, the centralised superalgebra psu(2|2) �R 3 was considered for the integrable structures of the one-dimensional Hubbard model and of the planar AdS/CFT correspondence.
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The S-matrix of string bound states
Gleb Arutyunov,Sergey Frolov +1 more
TL;DR: In this article, the S-matrix which describes the scattering of two-particle bound states of the light-cone string sigma model on AdS 5 × S 5 has been found.
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How accurate is the quantum string Bethe ansatz
TL;DR: In this article, the authors compare solutions of the quantum string Bethe equations with explicit one-loop calculations in the sigma-model on AdS5 × S^5 and find that deviations from the exact answer arise which are exponentially small in the string length.
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On Drinfeld's second realization of the AdS/CFT su(2|2) Yangian
TL;DR: In this paper, the second realization of the Yangian was constructed based on psu(2|2) ⋉ R3 symmetry, and the generators were evaluated on the fundamental representation.
References
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Book
Quantum Groups
TL;DR: In this paper, the authors introduce the theory of quantum groups with emphasis on the spectacular connections with knot theory and Drinfeld's recent fundamental contributions and present the quantum groups attached to SL2 as well as the basic concepts of the Hopf algebras.
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The Bethe-Ansatz for N=4 Super Yang-Mills
TL;DR: In this paper, the authors derived the one-loop mixing matrix for anomalous dimensions in N = 4 super Yang-Mills, which can be identified with the Hamiltonian of an integrable SO(6) spin chain with vector sites.
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The Bethe-ansatz for Script N = 4 super Yang-Mills
TL;DR: In this paper, the authors derived the one-loop mixing matrix for anomalous dimensions in = 4 super Yang-Mills and showed that this matrix can be identified with the hamiltonian of an integrable SO(6) spin chain with vector sites.
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Hidden symmetries of the AdS(5) x S**5 superstring
TL;DR: For the Green-Schwarz superstring, this article showed that the world sheet theory may be exactly solvable in the presence of nonlocal classically conserved charges of the type that exist in integrable field theories.
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Transcendentality and crossing
TL;DR: In this article, the authors discuss possible phase factors for the S-matrix of planar gauge theory, leading to modifications at four-loop order as compared to an earlier proposal, and present evidence that this choice is nonperturbatively related to a recently conjectured crossing-symmetric phase factor for perturbative string theory on AdS5? S5 once the constant is fixed to a particular value.