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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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A note on the Cardy-Verlinde formula

TL;DR: In this paper, the authors generalize the results of hep-th/0008140 to the case of the (n+1)-dimensional closed FRW universe satisfying a general equation of state of the form p = wρ.
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Universality and a generalized C-function in CFTs with AdS Duals

TL;DR: In this article, it was shown that the Casimir entropy can be identified with a generalized C-function that changes monotonically with temperature as well as when non-trivial bulk scalar fields are introduced.
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Thermodynamics of three-dimensional black holes via charged particle absorption

TL;DR: The second law of thermodynamics is derived from the change in the black hole mass as mentioned in this paper, and the extremal condition becomes non-extremal when the mass increases more than the electric charge.
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Exact moments of the Sachdev-Ye-Kitaev model up to order $1/N^2$

TL;DR: In this article, the authors analyzed the moments of the spectral density of the SYK model and obtained order 1/N^2$ corrections for all moments, where N is the total number of Majorana fermions.
Journal ArticleDOI

Constraints on Higher Spin CFT$_2$

TL;DR: In this article, the authors derive constraints on two-dimensional conformal field theories with higher spin symmetry due to unitarity, modular invariance, and causality, and place a lower bound on the dimension of any nonvacuum higher-spin primary state, which is linear in the central charge.
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.
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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