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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

Microscopic Origin of the Bekenstein-Hawking Entropy

TL;DR: The Bekenstein-Hawking area-entropy relation for extremal black holes in string theory was derived in this paper by counting the degeneracy of BPS soliton bound states.
Journal ArticleDOI

Boundary conditions, fusion rules and the Verlinde formula

TL;DR: In this article, the Verlinde formula is derived from the partition function of a conformal field theory in an annulus, and a simple derivation of the vertex formula is given.
Posted Content

Anti-de Sitter Space, Thermal Phase Transition, And Confinement In Gauge Theories

TL;DR: The correspondence between supergravity and string theory on $AdS$ space and boundary conformal field theory relates the thermodynamics of super Yang-Mills theory in four dimensions to the thermodynamic properties of Schwarzschild black holes in Anti-de Sitter space as discussed by the authors.
Journal ArticleDOI

Modular invariance of characters of vertex operator algebras

TL;DR: In this article, it was shown that the characters of the integrable highest weight modules of affine Lie algebras and the minimal series of the Virasoro algebra give rise to conformal field theories.
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One-dimensional Fermi liquids

TL;DR: In this article, the authors review the progress in the theory of one-dimensional (ID) Fermi liquids which has occurred over the past decade and present a description of the low-energy properties of gapless 1D quantum systems can be based on the exactly solvable Luttinger model which incorporates these features, and whose correlation functions can be calculated.
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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