Journal ArticleDOI
Operator Content of Two-Dimensional Conformally Invariant Theories
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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.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
Citations
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Long-distance asymptotics of spin–spin correlation functions for the XXZ spin chain
TL;DR: In this article, asymptotic expansions of spin-spin correlation functions for the XXZ Heisenberg chain in the critical regime were studied and correlation amplitudes for the leading and main sub-leading terms were determined.
Journal ArticleDOI
$$ T\overline{T} $$ deformed partition functions
Shouvik Datta,Yunfeng Jiang +1 more
TL;DR: In this paper, the authors demonstrate the presence of modular properties in partition functions of deformed conformal field theories and show that these properties facilitate derivation of the asymptotic density of states in these theories.
Journal ArticleDOI
Finite-size effects in a non-half-filled Hubbard chain
TL;DR: In this paper, it was shown that the finite-size corrections in the spectrum of a Hubbard chain are nonanalytic unless some conditions are imposed on the chemical potential, magnetic field and chain length.
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Poincare Series, 3D Gravity and CFT Spectroscopy
TL;DR: In this paper, the authors constructed modular invariant CFT partition functions with positive spectrum and gaps of size (c − 1)/12, proving that gaps of this size and smaller are consistent with modular invariance.
Journal ArticleDOI
Character expansion for HOMFLY polynomials. II. Fundamental representation. Up to five strands in braid
TL;DR: Character expansion is introduced and explicitly constructed for the (non-colored) HOMFLY polynomials of the simplest knots in this paper, and a hidden hierarchical structure of expansion coefficients, which allows one to express all of them through extremely simple elementary constituents.
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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