Generalised twisted partition functions
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This article is published in Physics Letters B.The article was published on 2001-04-05 and is currently open access. It has received 332 citations till now. The article focuses on the topics: Conformal field theory & Boundary conformal field theory.read more
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TFT construction of RCFT correlators I: partition functions
TL;DR: In this article, rational conformal field theory is formulated in terms of a symmetric special Frobenius algebra A and its representations, which is an algebra in the modular tensor category of Moore-Seiberg data of the underlying chiral CFT.
Journal ArticleDOI
TFT construction of RCFT correlators I: Partition functions
TL;DR: In this paper, rational conformal field theory is formulated in terms of a symmetric special Frobenius algebra A and its representations, which is an algebra in the modular tensor category of Moore-Seiberg data of the underlying chiral CFT.
Journal ArticleDOI
Duality and defects in rational conformal field theory
TL;DR: In this paper, the authors study topological defect lines in two-dimensional rational conformal field theory and show how the resulting onedimensional phase boundaries can be used to extract symmetries and order-disorder dualities of the CFT.
Journal ArticleDOI
The virtue of defects in 4D gauge theories and 2D CFTs
TL;DR: In this paper, a correspondence between the topological defect operators in Liouville and Toda conformal field theories and loop operators and domain wall operators in four-dimensional supersymmetric gauge theories was established.
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TFT construction of RCFT correlators: III: simple currents
TL;DR: In this paper, simple currents are used to construct symmetric special Frobenius algebras in modular tensor categories, leading to modular invariant torus partition functions that have been studied by Kreuzer and Schellekens.
References
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Modular Invariants, Graphs and α-Induction¶for Nets of Subfactors. III
Jens Böckenhauer,David Evans +1 more
TL;DR: In this paper, Xu et al. analyzed the induction and restriction of sectors for nets of subfactors defined by Longo and Rehren and derived a formula which specifies the structure of the induced sectors in terms of the original DHR sectors of the smaller net.
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Chiral Structure of Modular Invariants for Subfactors
TL;DR: In this article, the authors further analyzed modular invariants for subfactors, in particular the structure of the chiral induced systems of M-M morphisms, and they showed that the ambichiral braiding is non-degenerate if the original braiding of the N-N morphisms is.
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On α-induction, chiral generators and modular invariants for subfactors
TL;DR: In this paper, a matrix Z is defined and shown to commute with the S- and T-matrices arising from the braiding, and Z is a modular invariant mass matrix.
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On the classification of bulk and boundary conformal field theories
TL;DR: In this paper, the classification of rational conformal field theories is reconsidered from the standpoint of boundary conditions, and a complete solution not only yields the admissible boundary conditions but also gives valuable information on the bulk properties.
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The many faces of Ocneanu cells
TL;DR: In this paper, the authors define generalised chiral vertex operators covariant under the Ocneanu double triangle algebra, a quantum symmetry intrinsic to a given rational 2-d conformal field theory.