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
Citations
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Bounds for state degeneracies in 2D conformal field theory
TL;DR: In this article, the authors explore the application of modular invariance in 2-dimensional CFT to derive universal bounds for quantities describing certain state degeneracies, such as the thermodynamic entropy, or the number of marginal operators.
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Warped Weyl fermion partition functions
TL;DR: In this paper, the authors studied the properties of a massive Weyl fermion in (1 + 1)-dimensions and derived general properties of the spectrum and modular properties of partition functions of warped conformal field theories.
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Modular Invariant Partition Functions in the Quantum Hall Effect
TL;DR: In this article, the authors studied the partition function for the low-energy edge excitations of the incompressible electron fluid, which is invariant under modular transformations of the toroidal geometry made by the angular variable and the compact Euclidean time.
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The Dirac-Ramond operator in string theory and loop space index theorems☆☆☆
TL;DR: In this paper, the index of the Dirac-Ramond operator is shown to be an extension of the Atiyah-Singer index theorem for loop space, and its existence depends on the Green-Schwarz anomaly cancellation condition, p1 (M) = 0.
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Exact moments of the Sachdev-Ye-Kitaev model up to order $1/N^2$
TL;DR: In this article, the authors analyzed the moments of the spectral density of the q-body Sachdev-Ye-Kitaev (SYK) model, and obtained order 1/N2 corrections for all moments, where N is the total number of Majorana fermions.
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.
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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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