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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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Entanglement Entropy in Flat Holography

TL;DR: In this article, the authors give a holographic calculation of entanglement entropy and Renyi entropy in three dimensional Einstein gravity and Topologically Massive Gravity, and apply it for BMS invariant field theories, and finally extend the calculation to the bulk.
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Quantum vs. classical information: operator negativity as a probe of scrambling

TL;DR: In this paper, the authors consider the logarithmic negativity and related quantities of time evolution operators and propose a line-tension model to capture the entanglement dynamics for chaotic systems and quasi-particle picture for integrable systems.
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On three-point connectivity in two-dimensional percolation

TL;DR: In this paper, the exact universal result for the three-point connectivity of critical percolation in two dimensions is given for Potts clusters and for the scaling limit below p_c.
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Realizations of the exceptional modular invariant A (1) 1 partition functions

TL;DR: In this article, it was shown that the E6 and E8 modular invariant combinations of A(1)1 characters in the classification of Cappelli, Itzykson and Zuber can be realized as partition functions of k=1 conformally invariant WZW models on the group manifolds of Sp(4) and G2, respectively.
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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