Author
Vl.S. Dotsenko
Bio: Vl.S. Dotsenko is an academic researcher from Landau Institute for Theoretical Physics. The author has contributed to research in topics: Mathematics & Ising model. The author has an hindex of 13, co-authored 16 publications receiving 2835 citations.
Papers
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TL;DR: Based on the conformal algebra approach, a general technique for the calculation of multipoint correlation functions in 2D statistical models at the critical point is given in this article, where particular conformal operator algebras are found for operators of the 2D q-component Potts model.
1,317 citations
TL;DR: In this article, four-point correlation functions are calculated for the basic operators in 2D conformal invariant theories with the central charge of the corresponding Virasoro algebra C≤1.
768 citations
TL;DR: The conformal algebra for operators of the Z3 model at the phase transition point is built in this article, where critical exponents are found in this approach as solutions of simple algebraic equations.
192 citations
TL;DR: In this paper, the structure constants of operator algebras in conformal theories with central charge C ≤ 1 are explicitly calculated, and the central charge is assumed to be constant.
184 citations
TL;DR: In this article, the SU(2) conformal field theory on a plane using the Wakimoto free field representation has been studied and operator algebra has been derived for rational j representations.
80 citations
Cited by
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TL;DR: In this paper, it was shown how conformal invariance relates many numerically accessible properties of the transfer matrix of a critical system in a finite-width infinitely long strip to bulk universal quantities.
1,951 citations
TL;DR: In this article, the BRST method is used to covariantly quantize superstrings, and in particular to construct the vertex operators for string emission as well as the supersymmetry charge.
1,538 citations
TL;DR: In this article, the authors review recent progress in 2D gravity coupled to d < 1 conformal matter, based on a representation of discrete gravity in terms of random matrices and discuss the saddle point approximation for these models, including a class of related O(n) matrix models.
1,344 citations
TL;DR: Based on the conformal algebra approach, a general technique for the calculation of multipoint correlation functions in 2D statistical models at the critical point is given in this article, where particular conformal operator algebras are found for operators of the 2D q-component Potts model.
1,317 citations
TL;DR: It is shown that for conformally invariant two-dimensional systems, the amplitude of the finite-size corrections to the free energy of an infinitely long strip of width L at criticality is linearly related to the conformal anomaly number c, for various boundary conditions.
Abstract: We show that for conformally invariant two-dimensional systems, the amplitude of the finite-size corrections to the free energy of an infinitely long strip of width L at criticality is linearly related to the conformal anomaly number c, for various boundary conditions. The result is confirmed by renormalization-group arguments and numerical calculations. It is also related to the magnitude of the Casimir effect in an interacting one-dimensional field theory, and to the low-temperature specific heat in quantum chains.
1,223 citations