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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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Dirty black holes: Symmetries at stationary nonstatic horizons

TL;DR: In this article, it was shown that the Einstein tensor takes a highly symmetric form near the Killing horizon of any stationary but nonstatic (and nonextremal) black hole spacetime.
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A tauberian theorem for the conformal bootstrap

TL;DR: In this article, the spectral density asymptotics of exchanged primaries and the leading singularity in the crossed channel were studied for 1d CFTs, and they were shown to be a function of the spectrum of operators of high spin and bounded twist.
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Critical properties of the Izergin-Korepin and solvable O(n) models and their related quantum spin chains

TL;DR: The central charge of the Izergin-Korepin model and the corresponding quantum spin chain were calculated analytically via the Bethe ansatz in this article, and critical exponents and the central charge for these models were obtained from numerical solutions of Bethe Ansatz equations for finite systems.
Journal ArticleDOI

Structural aspects of asymptotically safe black holes

TL;DR: In this article, the authors studied the quantum modifications of classical, spherically symmetric Schwarzschild (anti-) de Sitter black holes within quantum Einstein gravity and found that it is actually the cosmological constant that determines the short distance structure of the RG-improved black hole.
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Eigenstate thermalization hypothesis and modular invariance of two-dimensional conformal field theories

TL;DR: In this paper, the modular invariance of two-point functions on a torus was studied and the result is nontrivially consistent with the condition of eigenstate thermalization hypothesis.
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.
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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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