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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 Near Horizon CFT Dual for Kerr-Newman-$AdS$

TL;DR: In this paper, it was shown that the near horizon regime of a Kerr-Newman-AdS$ (KN$AdS) black hole, given by its two dimensional analogue (RW2DA), is asymptotically dual to a one dimensional quantum conformal field theory (CFT).
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Equilibrium dynamics of the XX chain

TL;DR: In this paper, the equilibrium dynamics of the spin-$\frac{1}{2}$ XX chain is reexamined within a recently developed formalism based on the quantum transfer matrix and a thermal form-factor expansion.
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Subsystem eigenstate thermalization hypothesis for entanglement entropy in CFT

TL;DR: In this paper, a weak version of subsystem eigenstate thermalization hypothesis (ETH) was investigated for a two-dimensional large central charge conformal field theory by comparing the local equivalence of high energy state and thermal state of canonical ensemble.
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Phase diagram of the non-Hermitian asymmetric XXZ spin chain

TL;DR: In this article, the low-lying excitations of the asymmetric XXZ spin chain were derived explicitly in the antiferromagnetic regime through the Bethe ansatz, and it was found that a massless and conformal invariant phase with central charge c = 1 is separated from a massive phase by a line on which the low lying excitations surprisingly scale with the lattice length.
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Hyperbolicity of partition function and quantum gravity

TL;DR: In this paper, the authors studied a geometry of the partition function which is defined in terms of a solution of the five-term relation and showed that the 3-dimensional hyperbolic structure or the Euclidean AdS 3 naturally arises in the classical limit of this invariant.
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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