Explicit rational solutions of Knizhnik-Zamolodchikov equation
نویسندگان
چکیده
منابع مشابه
Explicit Rational Solutions of Knizhnik-zamolodchikov Equa- Tion
We consider the Knizhnik-Zamolodchikov system of linear differential equations. The coefficients of this system are rational functions generated by elements of the symmetric group S n. We assume that parameter ρ = ±1. In previous paper [5] we proved that the fundamental solution of the corresponding KZ-equation is rational. Now we construct this solution in the explicit form.
متن کاملGauged Knizhnik-Zamolodchikov Equation
G = H⊕M, [H,H] ⊂ H, [H,M] ⊂ M. (3) There are different methods of studying correlation functions of gaugedWZNWmodels such as the free field realization approach or the fermionization technik [2]. We shall pursue a different idea which is paralell to the analysis of the gravitational dressing of 2D field theories [3]. Our starting point are the equations of motion of the gauged WZNW model: ∇̄(∇gg...
متن کاملOn the rational solutions of the ŝu ( 2 ) k Knizhnik - Zamolodchikov equation
We present some new results on the rational solutions of the Knizhnik-Zamolodchikov (KZ) equation for the four-point conformal blocks of isospin I primary fields in the SU(2)k Wess-ZuminoNovikov-Witten (WZNW) model. The rational solutions corresponding to integrable representations of the affine algebra ŝu(2)k have been classified in [1], [2]; provided that the conformal dimension is an integer...
متن کاملLiouville Theory and Logarithmic Solutions to Knizhnik-zamolodchikov Equation
We study a class of solutions to the SL(2,R)k Knizhnik-Zamolodchikov equation. First, logarithmic solutions which represent four-point correlation functions describing string scattering processes on three-dimensional Anti-de Sitter space are discussed. These solutions satisfy the factorization ansatz and include logarithmic dependence on the SL(2,R)-isospin variables. Different types of logarit...
متن کاملSolutions of the Knizhnik - Zamolodchikov Equation with Rational Isospins and the Reduction to the Minimal Models
In the spirit of the quantum Hamiltonian reduction we establish a relation between the chiral n-point functions, as well as the equations governing them, of the A (1) 1 WZNW conformal theory and the corresponding Virasoro minimal models. The WZNW correlators are described as solutions of the Knizhnik Zamolodchikov equations with rational levels and isospins. The technical tool exploited are cer...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Central European Journal of Mathematics
سال: 2008
ISSN: 1895-1074,1644-3616
DOI: 10.2478/s11533-008-0013-0