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Yangian symmetry of scattering amplitudes
 in N = 4 super YangMills theory,” arXiv:0902.2987 [hepth
"... Treelevel scattering amplitudes in N = 4 super YangMills theory have recently been shown to transform covariantly with respect to a ‘dual ’ superconformal symmetry algebra, thus extending the conventional superconformal symmetry algebra psu(2,24) of the theory. In this paper we derive the action ..."
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Cited by 129 (15 self)
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algebra to a Yangian. The nonlocal Yangian generators acting on amplitudes turn out to be cyclically invariant due to special properties of psu(2,24). The representation of the Yangian generators takes the same form as in the case of local operators, suggesting that the Yangian symmetry is The N = 4
Yangian symmetry in the Nonlinear
, 1999
"... We study the Yangian symmetry of the multicomponent Quantum Nonlinear Schrödinger hierarchy in the framework of the Quantum Inverse Scattering Method. We give an explicit realization of the Yangian generators in terms of the deformed oscillators algebra which naturally occurs in this framework. ..."
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We study the Yangian symmetry of the multicomponent Quantum Nonlinear Schrödinger hierarchy in the framework of the Quantum Inverse Scattering Method. We give an explicit realization of the Yangian generators in terms of the deformed oscillators algebra which naturally occurs in this framework.
Yangian symmetry in the Nonlinear Schrödinger
, 1999
"... We study the Yangian symmetry of the multicomponent Quantum Nonlinear Schrödinger hierarchy in the framework of the Quantum Inverse Scattering Method. We give an explicit realization of the Yangian generators in terms of the deformed oscillators algebra which naturally occurs in this framework. Ré ..."
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We study the Yangian symmetry of the multicomponent Quantum Nonlinear Schrödinger hierarchy in the framework of the Quantum Inverse Scattering Method. We give an explicit realization of the Yangian generators in terms of the deformed oscillators algebra which naturally occurs in this framework
(Quantum) twisted Yangians: Symmetry, . . .
, 2006
"... Based on the (quantum) twisted Yangians, integrable systems with special boundary conditions, called soliton nonpreserving (SNP), may be constructed. In the present article we focus on the study of subalgebras of the (quantum) twisted Yangians, and we show that such a subalgebra provides an exact s ..."
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symmetry of the rational transfer matrix. We discuss how the spectrum of a generic transfer matrix may be obtained by focusing only on two types of special boundaries. It is also shown that the subalgebras, emerging from the asymptotics of tensor product representations of the (quantum) twisted Yangian
Exact Yangian symmetry in the classical EulerCalogeroMoser
, 1994
"... We compute the rmatrix for the elliptic EulerCalogeroMoser model. In the trigonometric limit we show that the model possesses an exact Yangian symmetry. PAR LPTHE 9403 ..."
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Cited by 9 (1 self)
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We compute the rmatrix for the elliptic EulerCalogeroMoser model. In the trigonometric limit we show that the model possesses an exact Yangian symmetry. PAR LPTHE 9403
Yangian symmetry in integrable quantum gravity
, 1997
"... Dimensional reduction of various gravity and supergravity models leads to effectively twodimensional field theories described by gravity coupled G/H coset space σmodels. The transition matrices of the associated linear system provide a complete set of conserved charges. Their Poisson algebra is a s ..."
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Cited by 19 (6 self)
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semiclassical Yangian double modified by a twist which is a remnant of the underlying coset structure. The classical Geroch group is generated by the LiePoisson action of these charges. Canonical quantization of the structure leads to a twisted Yangian double with fixed central extension at a
(Quantum) twisted Yangians: Symmetry, Baxterisation . . .
, 2007
"... Based on the (quantum) twisted Yangians, integrable systems with special boundary conditions, called soliton nonpreserving (SNP), may be constructed. In the present article we focus on the study of subalgebras of the (quantum) twisted Yangians, and we show that such a subalgebra provides an exact s ..."
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symmetry of the rational transfer matrix. We discuss how the spectrum of a generic transfer matrix may be obtained by focusing only on two types of special boundaries. It is also shown that the subalgebras, emerging from the asymptotics of tensor product representations of the (quantum) twisted Yangian
The Yangian symmetry and “{V8} ” molecule
, 907
"... A new symmetry operator Q is introduced to redescribe the effective Hamiltonian H3 of the Heisenberg spin triangle in the{V6} molecule. The operator Q is a special form of DzyaloshikyMoriya (DM) interaction for the triangle with three spins itself. By extending Q to a system with four spins we pre ..."
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A new symmetry operator Q is introduced to redescribe the effective Hamiltonian H3 of the Heisenberg spin triangle in the{V6} molecule. The operator Q is a special form of DzyaloshikyMoriya (DM) interaction for the triangle with three spins itself. By extending Q to a system with four spins we
Results 1  10
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123