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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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Wilson Surface Central Charge from Holographic Entanglement Entropy

TL;DR: In this paper, entanglement entropy is used to define a central charge associated to a two-dimensional defect or boundary in a conformal field theory (CFT), and holographic calculations of this central charge for several maximally supersymmetric CFTs dual to eleven-dimensional supergravity in Anti-de Sitter space are presented.
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Integrable quantum field theories and conformal field theories from lattice models in the light-cone approach

TL;DR: In this article, the light-cone lattice approach to two-dimensional quantum field theories is generalized to a large class of vertex models with any number of possible states per link and any simple Lie group of symmetry.
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Boundary stress tensor and counterterms for weakened AdS_3 asymptotic in New Massive Gravity

TL;DR: In this paper, the authors compute the conserved charges associated to exact solutions of New Massive Gravity that obey weakened versions of AdS_3 asymptotic boundary conditions, and show that these solutions yield vanishing boundary stress tensors.
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Central charges from the (N)=1 superconformal index.

TL;DR: In this paper, the central charges of a four-dimensional superconformal quantum field theory were obtained from the super-formal index at infinite N. This was later improved to O(1) parts of the central charge in the case of the toric quiver CFT.
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The cardy–verlinde formula and entropy of topological reissner–nordström black holes in de sitter spaces

TL;DR: In this paper, it was shown that the entropy of cosmological horizon in topological Reissner-Nordstrom-de Sitter spaces can be described by the Cardy-Verlinde formula, which is supposed to be an entropy formula of conformal field theory in any dimension.
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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