Onsℓ3Knizhnik-Zamolodchikov equations and 𝒲3null-vector equations
نویسندگان
چکیده
منابع مشابه
Quantum Knizhnik-zamolodchikov Equations and Holomorphic Vector Bundles
Introduction In 1984 Knizhnik and Zamolodchikov [KZ] studied the matrix elements of intertwining operators between certain representations of affine Lie algebras and found that they satisfy a holonomic system of differential equations which are now called the Knizhnik-Zamolodchikov (KZ) equations. It turned out that the KZ equations (and hence, representation theory of affine Lie algebras) are ...
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The Knizhnik-Zamolodchikov (KZ ) equations is a holonomic system of differential equations for correlation functions in conformal field theory on the sphere [KZ]. The KZ equations play an important role in representation theory of affine Lie algebras and quantum groups, see for example [EFK]. There are rational, trigonometric and elliptic versions of KZ equations, depending on what kind of coef...
متن کاملRemarks on Deformed and Undeformed Knizhnik-zamolodchikov Equations
Deformed and undeformed KZ equations are considered for k = 0. It is shown that they allow the same number of solutions, one being the asymptotics of others. Essential difference in analitical properties of the solutions is explained. In this paper certain beautiful mathematical structures will be explained which arise when studying the deformations of famous Knizhnik-Zamolodchikov equations [1...
متن کاملCoinvariants for Yangian Doubles and Quantum Knizhnik-zamolodchikov Equations
We present a quantum version of the construction of the KZ system of equations as a flat connection on the spaces of coinvariants of representations of tensor products of Kac-Moody algebras. We consider here representations of a tensor product of Yangian doubles and compute the coinvariants of a deformation of the subalgebra generated by the regular functions of a rational curve with marked poi...
متن کاملKnizhnik-Zamolodchikov-type equations for gauged WZNW models
We study correlation functions of coset constructions by utilizing the method of gauge dressing. As an example we apply this method to the minimal models and to the Witten 2D black hole. We exhibit a striking similarity between the latter and the gravitational dressing. In particular, we look for logarithmic operators in the 2D black hole. e-mail: [email protected] e-mail: a.lewis1@...
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ژورنال
عنوان ژورنال: Journal of High Energy Physics
سال: 2009
ISSN: 1029-8479
DOI: 10.1088/1126-6708/2009/10/002