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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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Entanglement Entropy at Large Central Charge

TL;DR: In this paper, a universal formula for the Renyi entropies of N disjoint intervals in the ground state, valid to all orders in a series expansion, was derived.
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Universal spectrum of 2d conformal field theory in the large c limit

TL;DR: In this paper, it was shown that a much stronger form of universality holds in theories with a large central charge c and a sparse light spectrum, and that the free energy is universal at all values of the temperature, and the microscopic spectrum matches the Cardy entropy for all c.
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Logarithmic corrections to black hole entropy, from the Cardy formula

TL;DR: In this paper, the first-order quantum correction to the Bekenstein-Hawking entropy in several models, including those based on asymptotic symmetries, horizon symmetry, and certain string theories, was computed.
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Modular invariant partition functions for parafermionic field theories

TL;DR: In this article, the partition functions of the parafermionic theories of Zamolodchikov and Fateev are computed in terms of the string functions of affine algebra.
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Conformal vacua and entropy in de Sitter space

TL;DR: In this article, the de Sitter/conformal field theory (dS/CFT) correspondence is illuminated through an analysis of massive scalar field theory in d-dimensional deSitter space, and a density matrix is constructed by tracing out over modes which are causally inaccessible to a single geodesic observer.
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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