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Journal ArticleDOI

Operator Content of Two-Dimensional Conformally Invariant Theories

John Cardy
- 01 Jan 1986 - 
- Vol. 270, Iss: 2, pp 186-204
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TLDR
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.
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This article is published in Nuclear Physics.The article was published on 1986-01-01. It has received 1951 citations till now. The article focuses on the topics: Rational conformal field theory & Conformal symmetry.

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Citations
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Breakdown of the magnetization plateau of the S = 1/2 ferromagnetic-ferromagnetic-antiferromagnetic trimerized spin chain with anisotropy

TL;DR: In this paper, the breakdown of the magnetization plateau at the MS/3 (MS is the saturation magnetization) of the S = 1/2 anisotropic spin chain with ferromagnetic-ferromagnetic antiferromagnetic interactions was studied.
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Characters and representations of new fermionic W-algebras

TL;DR: In this article, the invariant spaces under a subgroup of the modular group SL(2, Z ) are analyzed and the corresponding fusion rules are calculated for fermionic W-algebras.
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Finite-size scaling and conformal symmetry around the (2 + 1)-dimensional SU(2) deconfinement phase transition

TL;DR: In this paper, the deconfinement phase transition of (2 + 1)-dimensional SU(2) lattice gauge theory is investigated. Butler et al. combine this two-dimensional conformal field theory with a numerical investigation of the deconfinement phase transition for square lattices, and obtain excellent agreement with d = 2 Ising critical behavior.
Journal ArticleDOI

Solution of functional equations of restricted An−1(1) fused lattice models

TL;DR: In this article, the fusion hierarchies of the fused restricted An−1(1) lattice models of Jimbo, Miwa and Okado are studied in terms of fusion functions.
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Evidence for a 5d F-theorem

TL;DR: In this paper, a general expression for the free energy on S5 in terms of single-valued trilogarithm functions is derived from their supergravity duals, which are characterized by the 5-brane charges and additional geometric parameters.
References
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Book

Phase Transitions and Critical Phenomena

TL;DR: The field of phase transitions and critical phenomena continues to be active in research, producing a steady stream of interesting and fruitful results as discussed by the authors, and the major aim of this serial is to provide review articles that can serve as standard references for research workers in the field.
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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 Heterotic String

TL;DR: A new type of superstring theory is constructed as a chiral combination of the closed D=26 bosonic and D=10 fermionic strings, which is supersymmetric, Lorentz invariant, and free of tachyons.
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Finite size scaling analysis of Ising model block distribution functions

TL;DR: In this article, the authors studied the distribution function P L ( s ) of the local order parameters in finite blocks of linear dimension L for Ising lattices of dimension d = 2,3 and 4.
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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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