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
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High-dimensional sphere packing and the modular bootstrap
TL;DR: In this article, the spinless modular bootstrap for conformal field theories with current algebra U(1)c × U( 1)c, or equivalently the linear programming bound for sphere packing in 2c dimensions, was studied.
Topological and conformal field theory as Frobenius algebras
TL;DR: Two-dimensional conformal field theory (CFT) can be defined through its correlation functions as discussed by the authors, which satisfy certain consistency conditions which arise from the cutting of world sheets along c...
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Superconformal invariance in the two-dimensional Ashkin-Teller model
Sung-Kil Yang,Hai Bin Zheng +1 more
TL;DR: In this paper, superconformal invariance in the Ashkin-Teller quantum chain is studied by analyzing the finite-size limit of the spectrum with periodic or antiperiodic boundary conditions.
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Quantum Liouville theory and BTZ black hole entropy
TL;DR: In this article, an explicit conformal field theory description of (2 + 1)-dimensional BTZ black hole entropy was given, which corresponded to certain irreducible representations of the quantum algebra and showed that there are states that decouple from these reducible Verma modules in a similar fashion to the decoupling of null states in minimal models.
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W-algebras and coset models
TL;DR: In this paper, the authors define a W-algebra as a special class of meromorphic conformal field theory, and show that there are closed Walgebraic structures in coset models of the form g 1 n × g k n / g k+1 n based on the simple Lie algebras An, Bn, Dn and En, for sufficiently high values of k.
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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