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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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Edge excitations of an incompressible fermionic liquid in a staggered magnetic field

TL;DR: In this paper, a model of lattice fermions in 2 + 1-dimensional space is formulated, the critical states of which are lying at the basis of such physical problems, as the 3D Ising Model (3DIM) and the edge excitations in the Hall effect.
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Boundary conditions and amplitude ratios for finite-size corrections of a one-dimensional quantum spin model

TL;DR: In this paper, the influence of boundary conditions on the finite-size corrections of a one-dimensional (1D) quantum spin model by exact and perturbative theoretic calculations was studied.
Journal ArticleDOI

Phase Transitions in Warped AdS$_3$ Gravity

TL;DR: In this article, the authors consider asymptotically warped AdS$_3$ black holes in Topologically Massive Gravity and show the existence of a Hawking-Page phase transition between the black hole and thermal background phases.
Journal ArticleDOI

Covariant operators and higher-spin conformal algebras

TL;DR: In this paper, the most general operators transforming covariantly under the action of Diff S 1 were constructed as Lax operators to study the second hamiltonian structure of the Lax equations.
Posted Content

Universal Bounds in Even-Spin CFTs

TL;DR: In this article, it was shown that every unitary two-dimensional conformal field theory (CFT) of only even-spin operators (with no extended chiral algebra and with central charges $c,\tilde{c}>1$) contains a primary operator with dimension $Delta_1$ satisfying 0.09280 + 0.
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.
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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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