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- Knizhnik–Zamolodchikov_equations abstract "In mathematical physics the Knizhnik–Zamolodchikov equations or KZ equations are a set of additional constraints satisfied by the correlation functions of the conformal field theory associated with an affine Lie algebra at a fixed level. They form a system of complex partial differential equations with regular singular points satisfied by the N-point functions of primary fields and can be derived using either the formalism of Lie algebras or that of vertex algebras. The structure of the genus zero part of the conformal field theory is encoded in the monodromy properties of these equations. In particular the braiding and fusion of the primary fields (or their associated representations) can be deduced from the properties of the four-point functions, for which the equations reduce to a single matrix-valued first order complex ordinary differential equation of Fuchsian type. Originally the Russian physicists Vadim Knizhnik and Alexander Zamolodchikov deduced the theory for SU(2) using the classical formulas of Gauss for the connection coefficients of the hypergeometric differential equation.".
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- Knizhnik–Zamolodchikov_equations wikiPageRevisionID "671105547".
- Knizhnik–Zamolodchikov_equations wikiPageWikiLink 3-fold.
- Knizhnik–Zamolodchikov_equations wikiPageWikiLink Affine_Lie_algebra.
- Knizhnik–Zamolodchikov_equations wikiPageWikiLink Alexander_Zamolodchikov.
- Knizhnik–Zamolodchikov_equations wikiPageWikiLink Arrangement_of_hyperplanes.
- Knizhnik–Zamolodchikov_equations wikiPageWikiLink Braid_group.
- Knizhnik–Zamolodchikov_equations wikiPageWikiLink Carl_Friedrich_Gauss.
- Knizhnik–Zamolodchikov_equations wikiPageWikiLink Category:Conformal_field_theory.
- Knizhnik–Zamolodchikov_equations wikiPageWikiLink Category:Lie_algebras.
- Knizhnik–Zamolodchikov_equations wikiPageWikiLink Complex_differential_equation.
- Knizhnik–Zamolodchikov_equations wikiPageWikiLink Conformal_field_theory.
- Knizhnik–Zamolodchikov_equations wikiPageWikiLink Connection_coefficients.
- Knizhnik–Zamolodchikov_equations wikiPageWikiLink Correlation_function_(quantum_field_theory).
- Knizhnik–Zamolodchikov_equations wikiPageWikiLink Coxeter_element.
- Knizhnik–Zamolodchikov_equations wikiPageWikiLink Emil_Artin.
- Knizhnik–Zamolodchikov_equations wikiPageWikiLink Equivariant_map.
- Knizhnik–Zamolodchikov_equations wikiPageWikiLink Holonomy.
- Knizhnik–Zamolodchikov_equations wikiPageWikiLink Hypergeometric_function.
- Knizhnik–Zamolodchikov_equations wikiPageWikiLink Killing_form.
- Knizhnik–Zamolodchikov_equations wikiPageWikiLink Knot_theory.
- Knizhnik–Zamolodchikov_equations wikiPageWikiLink Lie_algebra.
- Knizhnik–Zamolodchikov_equations wikiPageWikiLink Mathematical_physics.
- Knizhnik–Zamolodchikov_equations wikiPageWikiLink Minimal_models.
- Knizhnik–Zamolodchikov_equations wikiPageWikiLink Monodromy.
- Knizhnik–Zamolodchikov_equations wikiPageWikiLink Noethers_theorem.
- Knizhnik–Zamolodchikov_equations wikiPageWikiLink Operator_algebra.
- Knizhnik–Zamolodchikov_equations wikiPageWikiLink Ordinary_differential_equation.
- Knizhnik–Zamolodchikov_equations wikiPageWikiLink Partial_differential_equation.
- Knizhnik–Zamolodchikov_equations wikiPageWikiLink Primary_field.
- Knizhnik–Zamolodchikov_equations wikiPageWikiLink Quantum_KZ_equations.
- Knizhnik–Zamolodchikov_equations wikiPageWikiLink Quantum_group.
- Knizhnik–Zamolodchikov_equations wikiPageWikiLink R-matrix.
- Knizhnik–Zamolodchikov_equations wikiPageWikiLink Rational_number.
- Knizhnik–Zamolodchikov_equations wikiPageWikiLink Regular_singular_point.
- Knizhnik–Zamolodchikov_equations wikiPageWikiLink Representation_theory.
- Knizhnik–Zamolodchikov_equations wikiPageWikiLink Special_unitary_group.
- Knizhnik–Zamolodchikov_equations wikiPageWikiLink Spin_representation.
- Knizhnik–Zamolodchikov_equations wikiPageWikiLink Topology.
- Knizhnik–Zamolodchikov_equations wikiPageWikiLink Vadim_Knizhnik.
- Knizhnik–Zamolodchikov_equations wikiPageWikiLink Vaughan_Jones.
- Knizhnik–Zamolodchikov_equations wikiPageWikiLink Vertex_operator_algebra.
- Knizhnik–Zamolodchikov_equations wikiPageWikiLink Virasoro_algebra.
- Knizhnik–Zamolodchikov_equations wikiPageWikiLinkText "KZ differential equations".
- Knizhnik–Zamolodchikov_equations wikiPageWikiLinkText "Knizhnik–Zamolodchikov equations".
- Knizhnik–Zamolodchikov_equations wikiPageWikiLinkText "Knizhnik–Zamolodchikov equations".
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- Knizhnik–Zamolodchikov_equations wikiPageUsesTemplate Template:Harvtxt.
- Knizhnik–Zamolodchikov_equations wikiPageUsesTemplate Template:Main.
- Knizhnik–Zamolodchikov_equations wikiPageUsesTemplate Template:Math.
- Knizhnik–Zamolodchikov_equations wikiPageUsesTemplate Template:Mvar.
- Knizhnik–Zamolodchikov_equations subject Category:Conformal_field_theory.
- Knizhnik–Zamolodchikov_equations subject Category:Lie_algebras.
- Knizhnik–Zamolodchikov_equations hypernym Set.
- Knizhnik–Zamolodchikov_equations type Algebra.
- Knizhnik–Zamolodchikov_equations type Redirect.
- Knizhnik–Zamolodchikov_equations comment "In mathematical physics the Knizhnik–Zamolodchikov equations or KZ equations are a set of additional constraints satisfied by the correlation functions of the conformal field theory associated with an affine Lie algebra at a fixed level. They form a system of complex partial differential equations with regular singular points satisfied by the N-point functions of primary fields and can be derived using either the formalism of Lie algebras or that of vertex algebras.".
- Knizhnik–Zamolodchikov_equations label "Knizhnik–Zamolodchikov equations".
- Knizhnik–Zamolodchikov_equations sameAs Q6422663.
- Knizhnik–Zamolodchikov_equations sameAs Ecuaciones_de_Knizhnik–Zamolodchikov.
- Knizhnik–Zamolodchikov_equations sameAs クニーズニク・ザモロドチコフ方程式.
- Knizhnik–Zamolodchikov_equations sameAs m.03w9sj6.
- Knizhnik–Zamolodchikov_equations sameAs Q6422663.
- Knizhnik–Zamolodchikov_equations wasDerivedFrom Knizhnik–Zamolodchikov_equations?oldid=671105547.
- Knizhnik–Zamolodchikov_equations isPrimaryTopicOf Knizhnik–Zamolodchikov_equations.