36 citations · 36 across the 1 of their papers we have counts for
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Parafermionic polynomials, Selberg integrals and three-point correlation function in parafermionic Liouville field theory
M. A. Bershtein, V. A. Fateev, A. V. Litvinov
In this paper we consider parafermionic Liouville field theory. We study integral representations of three-point correlation functions and develop a method allowing us to compute t…
Differential equation for four-point correlation function in Liouville field theory and elliptic four-point conformal blocks
V. A. Fateev, A. V. Litvinov, A. Neveu +1
Liouville field theory on a sphere is considered. We explicitly derive a differential equation for four-point correlation functions with one degenerate field . W…
Correlation functions in conformal Toda field theory II
V. A. Fateev, A. V. Litvinov
This is the second part of the paper 0709.3806v2. Here we show that three-point correlation function with one semi-degenerate field in Toda field theory as well as four-point corre…
Correlation functions in conformal Toda field theory I
V. A. Fateev, A. V. Litvinov
Two-dimensional sl(n) quantum Toda field theory on a sphere is considered. This theory provides an important example of conformal field theory with higher spin symmetry. We derive…
Multipoint correlation functions in Liouville field theory and minimal Liouville gravity
V. A. Fateev, A. V. Litvinov
We study n+3-point correlation functions of exponential fields in Liouville field theory with n degenerate and 3 arbitrary fields. An analytical expression for these correlation fu…
On scaling fields in Ising models
V. A. Fateev, V. V. Postnikov, Y. P. Pugai
We study the space of scaling fields in the symmetric models with the factorized scattering and propose simplest algebraic relations between form factors induced by the actio…