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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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Journal ArticleDOI

Brane–bulk interaction and holographic principle

TL;DR: In this paper, the brane-bulk interaction was introduced to discuss a limitation of the cosmological Cardy-Verlinde formula which is useful for the holographic description of brane cosmology.
Journal ArticleDOI

Horizon constraints and black hole entropy

TL;DR: In this paper, it was shown that the notion of a "stretched horizon" constraint modifies the algebra of symmetries at the horizon, allowing the use of standard conformal field theory techniques to determine the asymptotic density of states.
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Relevance in the Renormalization Group and in Information Theory

TL;DR: It is shown analytically that for statistical physical systems described by a field theory the relevant degrees of freedom found using IB compression indeed correspond to operators with the lowest scaling dimensions, which provides a dictionary connecting two distinct theoretical toolboxes, and an example of constructively incorporating physical interpretability in applications of deep learning in physics.
Posted Content

Conformal Blocks Beyond the Semi-Classical Limit

TL;DR: In this article, it was shown that only non-perturbative corrections in 1/c can resolve the singularities associated with the information paradox in the form of periodic Euclidean-time singularities that must be resolved at finite c.
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Holography in Three-dimensional Kerr-de Sitter Space with a Gravitational Chern-Simons Term

TL;DR: In this paper, the cosmological horizon of the three-dimensional Kerr-de Sitter space with a gravitational Chern-Simons term was studied, in the context of dS/CFT correspondence, and it was remarked that the results go beyond analytic continuation from AdS, the maximum mass/N-bound conjecture may be violated, and the threedimensional cosmology is chiral.
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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