Journal ArticleDOI
Operator Content of Two-Dimensional Conformally Invariant Theories
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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.About:
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.read more
Citations
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Applied Conformal Field Theory
TL;DR: In this article, an elementary introduction to conformal field theory, with some applications to statistical mechanical systems, and fewer to string theory, is given, with a focus on conformal theories in d dimensions.
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The operator algebra of orbifold models
TL;DR: In this paper, the chiral properties of (orbifold) conformal field theories were analyzed by modding out by a finite symmetry group, and the fusion rules were derived by studying the modular transformation properties of one-loop characters.
Journal ArticleDOI
The A-D-E classification of minimal andA 1 (1) conformal invariant theories
TL;DR: A1(1) Kac-Moody algebras have been studied in this paper for modular invariant sesquilinear theories with positive integral coefficients.
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Applied Conformal Field Theory
TL;DR: In this paper, an elementary introduction to conformal field theory, with some applications to statistical mechanical systems, and fewer to string theory, is given, with a focus on conformal theories in d dimensions.
Journal ArticleDOI
Modular Invariant Partition Functions in Two-Dimensions
TL;DR: In this paper, a systematic study of modular invariance of partition functions is presented, relevant both for two-dimensional minimal conformal invariant theories and for string propagation on a SU(2) group manifold.
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.
Journal ArticleDOI
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.
Journal ArticleDOI
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.
Journal ArticleDOI
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.
Journal ArticleDOI
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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