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Logarithmic conformal field theory

About: Logarithmic conformal field theory is a research topic. Over the lifetime, 288 publications have been published within this topic receiving 18629 citations.


Papers
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Journal ArticleDOI
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.

4,595 citations

Book
13 Dec 1996
TL;DR: This paper developed conformal field theory from first principles and provided a self-contained, pedagogical, and exhaustive treatment, including a great deal of background material on quantum field theory, statistical mechanics, Lie algebras and affine Lie algesas.
Abstract: Filling an important gap in the literature, this comprehensive text develops conformal field theory from first principles. The treatment is self-contained, pedagogical, and exhaustive, and includes a great deal of background material on quantum field theory, statistical mechanics, Lie algebras and affine Lie algebras. The many exercises, with a wide spectrum of difficulty and subjects, complement and in many cases extend the text. The text is thus not only an excellent tool for classroom teaching but also for individual study. Intended primarily for graduate students and researchers in theoretical high-energy physics, mathematical physics, condensed matter theory, statistical physics, the book will also be of interest in other areas of theoretical physics and mathematics. It will prepare the reader for original research in this very active field of theoretical and mathematical physics.

3,440 citations

Journal ArticleDOI
TL;DR: In this article, it was shown that correlation functions with logarithmic singularities imply the existence of additional operators in the theory which together with ordinary primary operators form the basis of the Jordan cell for the operator L0.

584 citations

Journal ArticleDOI
03 Mar 2000
TL;DR: In this paper, the authors studied two-dimensional conformal field theories generated from a free two-component fermion field of spin one, and constructed the maximal local supersymmetric (SL(2,C)-conformal field theory generated from it.
Abstract: We study two-dimensional conformal field theories generated from a ``symplectic fermion'' - a free two-component fermion field of spin one - and construct the maximal local supersymmetric conformal field theory generated from it This theory has central charge c=-2 and provides the simplest example of a theory with logarithmic operators Twisted states with respect to the global SL(2,C)-symmetry of the symplectic fermions are introduced and we describe in detail how one obtains a consistent set of twisted amplitudes We study orbifold models with respect to finite subgroups of SL(2,C) and obtain their modular invariant partition functions In the case of the cyclic orbifolds explicit expressions are given for all two-, three- and four-point functions of the fundamental fields The C_2-orbifold is shown to be isomorphic to the bosonic local logarithmic conformal field theory of the triplet algebra encountered previously We discuss the relation of the C_4-orbifold to critical dense polymers

273 citations

Journal ArticleDOI
TL;DR: The SL(2, ℤ)-representation π on the center of the restricted quantum group at the primitive 2pth root of unity is shown to be equivalent to the SL( 2, ↦)-representations on the extended characters of the logarithmic (1, p) conformal field theory model in this article.
Abstract: The SL(2, ℤ)-representation π on the center of the restricted quantum group at the primitive 2pth root of unity is shown to be equivalent to the SL(2, ℤ)-representation on the extended characters of the logarithmic (1, p) conformal field theory model. The multiplicative Jordan decomposition of the ribbon element determines the decomposition of π into a ``pointwise'' product of two commuting SL(2, ℤ)-representations, one of which restricts to the Grothendieck ring; this restriction is equivalent to the SL(2, ℤ)-representation on the (1, p)-characters, related to the fusion algebra via a nonsemisimple Verlinde formula. The Grothendieck ring of at the primitive 2pth root of unity is shown to coincide with the fusion algebra of the (1, p) logarithmic conformal field theory model. As a by-product, we derive q-binomial identities implied by the fusion algebra realized in the center of .

268 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
20216
20207
20199
20182
20178
20162