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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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Tauberian-Cardy formula with spin

TL;DR: In this paper, a 2-dimensional Tauberian theorem was proved for 2D conformal field theory and the asymptotic density of states with conformal weight (h,$$ \overline{h} ) → (∞, ∞) for any arbitrary spin was derived.
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Galilean conformal algebra in two dimensions and cosmological topologically massive gravity

TL;DR: In this paper, an infinite-dimensional GCA in two-dimensional space-time on the AdS boundary of a particular three-dimensional gravity theory, the so-called cosmological topologically massive gravity (CTMG), was obtained from the Virasoro algebra for the relativistic CFT by taking a scaling limit t → t, x → ϵ x with ϵ → 0.
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BTZ black hole with higher derivatives, the second law of thermodynamics, and statistical entropy: A new proposal

TL;DR: In this paper, the authors considered the thermodynamics of the BTZ black hole in the presence of the higher curvature and gravitational Chern-Simons terms, and its statistical entropy, and proposed a new thermodynamic entropy, which is manifestly non-negative, such that the second law of thermodynamics is satisfied.
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KdV charges in $T\bar{T}$ theories and new models with super-Hagedorn behavior

TL;DR: In this paper, the authors show that two-dimensional CFTs and integrable models have an infinite set of conserved KdV higher spin currents that behave as probes "riding the Burgers flow" of the energy eigenvalues.
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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