Journal ArticleDOI
Conformal algebra and multipoint correlation functions in 2D statistical models
Vl.S. Dotsenko,Vladimir Fateev +1 more
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TLDR
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.About:
This article is published in Nuclear Physics.The article was published on 1984-10-15. It has received 1317 citations till now. The article focuses on the topics: Operator algebra & Potts model.read more
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Conformal invariance, supersymmetry and string theory
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.
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Conformal invariance, the central charge, and universal finite-size amplitudes at criticality.
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.
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Percolation, statistical topography, and transport in random media
TL;DR: A review of classical percolation theory is presented, with an emphasis on novel applications to statistical topography, turbulent diffusion, and heterogeneous media as discussed by the authors, where a geometrical approach to studying transport in random media, which captures essential qualitative features of the described phenomena, is advocated.
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The Conformal Field Theory of Orbifolds
TL;DR: In this article, the authors derived Yukawa couplings in the effective field theory for fermionic strings on orbifolds and applied them to the scattering of four twisted string states, which allowed the extraction of operator product coefficients of conformal twist fields.
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Conformal Field Theory and 2D Quantum Gravity
Jacques Distler,Hikaru Kawai +1 more
TL;DR: In this article, the theory of 2D quantum gravity in the usual conformal gauge was solved and the critical exponents for all genera were obtained for the supersymmetric case.
References
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Infinite Conformal Symmetry in Two-Dimensional Quantum Field Theory
TL;DR: In this paper, the authors present an investigation of the massless, two-dimentional, interacting field theories and their invariance under an infinite-dimensional group of conformal transformations.
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The Potts model
TL;DR: In this paper, a tutorial review on the Potts model is presented aimed at bringing out the essential and important properties of the standard Potts models, focusing on exact and rigorous results, but other aspects of the problem are also described to achieve a unified perspective.
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Conformal Invariance, Unitarity, and Critical Exponents in Two Dimensions
TL;DR: In this article, the authors show that conformal invariance and unitarity severely limit the possible values of critical exponents in two-dimensional systems, and propose a solution to this problem.
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Exact Critical Point and Critical Exponents of O ( n ) Models in Two Dimensions
TL;DR: In this article, a two-dimensional spin model with cubic or isotropic symmetry is mapped onto a solid-on-solid model, which leads to an analytic calculation of the critical point and some critical indices.
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Calculation of critical exponents in two dimensions from quantum field theory in one dimension
A. Luther,Ingo Peschel +1 more
TL;DR: In this paper, a relationship between the Baxter model in two dimensions and the Luttinger model in one was constructed, and the relationship was used to calculate critical exponents for the Baxter models from appropriate Lutteringer-model correlation functions.