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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

Congruence property in conformal field theory

TL;DR: The congruence subgroup property of the modular representations associated to any modular tensor category was established in this paper, and the order of the anomaly for those modular categories satisfying some integrality conditions was determined.
Journal ArticleDOI

Congruence Subgroups and Generalized Frobenius-Schur Indicators

TL;DR: In this paper, generalized Frobenius-Schur indicators for pivotal categories were introduced, and the set of equivariant indicators admits a natural action of the modular group and a congruence subgroup theorem for modular categories.
Journal ArticleDOI

A comment on black hole entropy or does nature abhor a logarithm

TL;DR: In this article, the authors argue that the best guess for the prefactor might simply be zero, which complies with the prior prediction and seems suggestive of some fundamental symmetry in the Bekenstein-Hawking entropy.
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Bouncing and cyclic universes from brane models

TL;DR: In this article, the authors considered a D3-brane as boundary of a five-dimensional charged anti-de Sitter black hole and showed that the charge of the black hole induces a regular cosmological evolution for the scale factor of the brane, with a smooth transition between a contracting and an eventual expanding phase.
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Centrally extended symmetry algebra of asymptotically Goedel spacetimes

TL;DR: In this article, the authors define an asymptotic symmetry algebra for three-dimensional Goedel spacetimes supported by a gauge field which turns out to be the semi-direct sum of the diffeomorphisms on the circle with two loop algebras.
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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