Journal ArticleDOI
Operator Content of Two-Dimensional Conformally Invariant Theories
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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.About:
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.read more
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Free partition functions and an averaged holographic duality
TL;DR: In this paper, the torus partition functions of free bosonic CFTs in two dimensions were studied and it was shown that an averaged free CFT in 2D is holographically dual to an exotic theory of three-dimensional gravity with U(1)c ×U( 1)c symmetry and a composite boundary graviton.
Journal ArticleDOI
Fractional statistics in one dimension: view from an exactly solvable model
TL;DR: In this article, the Calogero-Sutherland model was used to construct a low-energy one-dimensional anyon model, and its correlation functions were found to be in agreement with those in the CSM, and this agreement provided an evidence for the equivalence of the first-and second-quantized construction of the 1D anyone model at least in the longwavelength limit.
Journal ArticleDOI
Modular Invariance and the Fusion Algebra
Robbert Dijkgraaf,Erik Verlinde +1 more
TL;DR: In this paper, it was shown that the existence of off-diagonal modular invariant partition functions imply a non-trivial automorphism of the fusion algebra, which is illustrated using the SU(2) affine models.
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On the spectrum of 2D conformal field theories
TL;DR: In this article, a connection that is found between the Virasoro and SU(2) Kac-Moody characters is used to generate unitary statistical models from the SU (2) theories.
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Form factor approach to dynamical correlation functions in critical models
Nikolai Kitanine,Karol K. Kozlowski,J. M. Maillet,Nikita Andreevich Slavnov,Véronique Terras +4 more
TL;DR: In this paper, a form factor approach to the study of dynamical correlation functions of quantum integrable models in the critical regime was developed, based on a first principles derivation, without invoking, at any stage, any correspondence with a continuous field theory.
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.
Journal ArticleDOI
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.
Journal ArticleDOI
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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