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Systematic proof of the existence of Yangian symmetry in chiral GrossNeveu models, Phys
 Lett. B
, 1998
"... The existence of nonlocal charges, generating a Yangian symmetry is discussed in generalized chiral GrossNeveu models. Their conservation can be proven by a finiteloop perturbative computation, the order of which is determined from group theoretic constants and is independent of the number of fla ..."
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The existence of nonlocal charges, generating a Yangian symmetry is discussed in generalized chiral GrossNeveu models. Their conservation can be proven by a finiteloop perturbative computation, the order of which is determined from group theoretic constants and is independent of the number
Quantum integrable family of generalized Hubberd models with twisted Yangian symmetry
, 1997
"... A strongly correlated electron system in the line of the recently proposed generalized Hubberd models as candidates for high Tcsuperconductors is considered. The model along with a whole class of such systems are shown to be completely integrable with explicit quantum Rmatrices and the Lax operato ..."
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operators. Inspite of novelties in the Bethe ansatz solution, the results do not deviate much from that of the standard Hubberd model and confirms the Luttinger like behavior of spincharge separation. However, the symmetry of the model is changed to a recently discovered twisted Yangian symmetry. 1
UvADARE (Digital Academic Repository) Yangian symmetry in conformal field theory Yangian symmetry in conformal field theory
"... Abstract We show that the SU(N), level1 WessZuminoWitten conformal field theory provides a natural realization of the Yangian Y(sl~) for N _> 3. We also construct a hamiltonian//2 which commutes with the Yangian generators and study its spectrum. Our results, which generalize work by Haldane ..."
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Abstract We show that the SU(N), level1 WessZuminoWitten conformal field theory provides a natural realization of the Yangian Y(sl~) for N _> 3. We also construct a hamiltonian//2 which commutes with the Yangian generators and study its spectrum. Our results, which generalize work
An Exceptional Algebraic Origin of the AdS/CFT Yangian Symmetry
, 2008
"... In the su(22) spin chain motivated by the AdS/CFT correspondence, a novel symmetry extending the superalgebra su(22) into u(22) was found. We pursue the origin of this symmetry in the exceptional superalgebra d(2, 1; ε), which recovers su(22) when the parameter ε is taken to zero. Especially, we ..."
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, we rederive the Yangian symmetries of the AdS/CFT spin chain using the exceptional superalgebra and find that the εcorrection corresponds to the novel symmetry. Also, we reproduce the noncanonical classical rmatrix of the AdS/CFT spin chain expressed with this symmetry from the canonical one
Longrange interaction models and yangian symmetry, Phys. Rev
, 1995
"... The generalized SutherlandRömer model and Yan models with internal spin degree are formulated in terms of both the Polychronakos ’ approach and RTT relation associated to YangBaxter equation in consistent way. The Yangian symmetry is shown to generate both the models. We finally introduce the refl ..."
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The generalized SutherlandRömer model and Yan models with internal spin degree are formulated in terms of both the Polychronakos ’ approach and RTT relation associated to YangBaxter equation in consistent way. The Yangian symmetry is shown to generate both the models. We finally introduce
Serre Relation and Higher Grade Generators of the AdS/CFT Yangian Symmetry
, 2009
"... It was shown that the spin chain model coming from AdS/CFT correspondence satisfies the Yangian symmetry if we assume evaluation representation, though so far there is no explicit proof that the evaluation representation satisfies the Serre relation, which is one of the defining equations of the Yan ..."
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It was shown that the spin chain model coming from AdS/CFT correspondence satisfies the Yangian symmetry if we assume evaluation representation, though so far there is no explicit proof that the evaluation representation satisfies the Serre relation, which is one of the defining equations
ITPSB9366 The Yangian symmetry of the Hubbard Model
, 1993
"... We discovered new hidden symmetry of the onedimensional Hubbard model. We show that the onedimensional Hubbard model on the infinite chain has the infinitedimensional algebra of symmetries. This algebra is a direct sum of two sl(2)Yangians. This Y (sl(2)) ⊕ Y (sl(2)) symmetry is an extension of ..."
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We discovered new hidden symmetry of the onedimensional Hubbard model. We show that the onedimensional Hubbard model on the infinite chain has the infinitedimensional algebra of symmetries. This algebra is a direct sum of two sl(2)Yangians. This Y (sl(2)) ⊕ Y (sl(2)) symmetry is an extension
Affine and Yangian Symmetries in SU(2)1 Conformal Field Theory ∗
, 1994
"... In these lectures, we study and compare two different formulations of SU(2), level k = 1, WessZuminoWitten conformal field theory. The first, conventional, formulation employs the affine symmetry of the model; in this approach correlation functions are derived from the socalled KnizhnikZamolodch ..."
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In these lectures, we study and compare two different formulations of SU(2), level k = 1, WessZuminoWitten conformal field theory. The first, conventional, formulation employs the affine symmetry of the model; in this approach correlation functions are derived from the socalled Knizhnik
Yangian symmetry and quantum inverse scattering method for the 1D Hubberd model
"... We develop the quantum inverse scattering method for the onedimensional Hubbard model on the infinite interval at zero density. Rmatrix and monodromy matrix are obtained as limits from their known counterparts on the finite interval. The Rmatrix greatly simplifies in the considered limit. The new ..."
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. The new Rmatrix contains a submatrix which turns into the rational Rmatrix of the XXXchain by an appropriate reparametrization. The corresponding submatrix of the monodromy matrix thus provides a representation of the Y(su(2)) Yangian. From its quantum determinant we obtain an infinite series
YANGIAN SYMMETRY IN D=4 SUPERCONFORMAL YANGMILLS THEORY
, 2004
"... We will discuss an integrable structure for weakly coupled superconformal YangMills theories, describe certain equivalences for the Yangian algebra, and fill a technical gap in our previous study of this subject. ..."
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We will discuss an integrable structure for weakly coupled superconformal YangMills theories, describe certain equivalences for the Yangian algebra, and fill a technical gap in our previous study of this subject.
Results 21  30
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123