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Lie algebras, Fuchsian differential equations and CFT correlation functions
, 2003
"... Affine KacMoody algebras give rise to interesting systems of differential equations, socalled KnizhnikZamolodchikov equations. The monodromy properties of their solutions can be encoded in the structure of a modular tensor category on (a subcategory of) the representation category of the affine ..."
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Cited by 1 (0 self)
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Affine KacMoody algebras give rise to interesting systems of differential equations, socalled KnizhnikZamolodchikov equations. The monodromy properties of their solutions can be encoded in the structure of a modular tensor category on (a subcategory of) the representation category of the affine
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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Cited by 3 (1 self)
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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 KnizhnikZamolodchikov
Quantum Knizhnik–Zamolodchikov equation,
, 2005
"... generalized Razumov–Stroganov sum rules and extended Joseph polynomials P. Di Francesco # and P. ZinnJustin ⋆ We prove higher rank analogues of the Razumov–Stroganov sum rule for the groundstate of the O(1) loop model on a semiinfinite cylinder: we show that a weighted sum of components of the gro ..."
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of the groundstate of the Ak−1 IRF model yields integers that generalize the numbers of alternating sign matrices. This is done by constructing minimal polynomial solutions of the level 1 Uq ( sl(k)) quantum Knizhnik–Zamolodchikov equations, which may also be interpreted as quantum incompressible q
Quantum Knizhnik–Zamolodchikov equation,
, 2005
"... generalized Razumov–Stroganov sum rules and extended Joseph polynomials P. Di Francesco # and P. ZinnJustin ⋆ We prove higher rank analogues of the Razumov–Stroganov sum rule for the groundstate of the O(1) loop model on a semiinfinite cylinder: we show that a weighted sum of components of the gro ..."
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of the groundstate of the Ak−1 IRF model yields integers that generalize the numbers of alternating sign matrices. This is done by constructing minimal polynomial solutions of the level 1 Uq ( sl(k)) quantum Knizhnik–Zamolodchikov equations, which may also be interpreted as quantum incompressible q
Quantum Knizhnik–Zamolodchikov equation,
, 2006
"... generalized Razumov–Stroganov sum rules and extended Joseph polynomials P. Di Francesco # and P. ZinnJustin ⋆ We prove higher rank analogues of the Razumov–Stroganov sum rule for the groundstate of the O(1) loop model on a semiinfinite cylinder: we show that a weighted sum of components of the gro ..."
Abstract
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of the groundstate of the Ak−1 IRF model yields integers that generalize the numbers of alternating sign matrices. This is done by constructing minimal polynomial solutions of the level 1 Uq ( sl(k)) quantum Knizhnik–Zamolodchikov equations, which may also be interpreted as quantum incompressible q
Duality for KnizhnikZamolodchikov and dynamical equations
 ACTA APPL. MATH
, 2001
"... We consider the KnizhnikZamolodchikov (KZ) and dynamical equations, both differential and difference, in the context of the (gl k, gl n) duality. We show that the KZ and dynamical equations naturally exchange under the duality. ..."
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Cited by 31 (9 self)
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We consider the KnizhnikZamolodchikov (KZ) and dynamical equations, both differential and difference, in the context of the (gl k, gl n) duality. We show that the KZ and dynamical equations naturally exchange under the duality.
1 Gauged KnizhnikZamolodchikov Equation
, 1996
"... Correlation functions of gauged WZNW models are shown to satisfy a differential equation, which is a gauge generalization of the KnizhnikZamolodchikov equation. 1. ..."
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Correlation functions of gauged WZNW models are shown to satisfy a differential equation, which is a gauge generalization of the KnizhnikZamolodchikov equation. 1.
Results 1  10
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5,371