Universal correlators and novel cosets in 2d RCFT
نویسندگان
چکیده
منابع مشابه
Tft Construction of Rcft Correlators I: Partition Functions
We formulate rational conformal field theory in terms of a symmetric special Frobenius algebra A and its representations. A is an algebra in the modular tensor category of Moore--Seiberg data of the underlying chiral CFT. The multiplication on A corresponds to the OPE of boundary fields for a single boundary condition. General boundary conditions are A-modules, and (generalised) defect lines ar...
متن کاملTft Construction of Rcft Correlators Ii: Unoriented World Sheets
A full rational CFT, consistent on all orientable world sheets, can be constructed from the underlying chiral CFT, i.e. a vertex algebra, its representation category C, and the system of chiral blocks, once we select a symmetric special Frobenius algebra A in the category C [I]. Here we show that the construction of [I] can be extended to unoriented world sheets by specifying one additional dat...
متن کاملTft Construction of Rcft Correlators Iii: Simple Currents
We use simple currents to construct symmetric special Frobenius algebras in modular tensor categories. We classify such simple current type algebras with the help of abelian group cohomology. We show that they lead to the modular invariant torus partition functions that have been studied by Kreuzer and Schellekens. We also classify boundary conditions in the associated conformal field theories ...
متن کاملTft Construction of Rcft Correlators Iv: Structure Constants and Correlation Functions
We compute the fundamental correlation functions in two-dimensional rational conformal field theory, from which all other correlators can be obtained by sewing: the correlators of three bulk fields on the sphere, one bulk and one boundary field on the disk, three boundary fields on the disk, and one bulk field on the cross cap. We also consider conformal defects and calculate the correlators of...
متن کاملTft Construction of Rcft Correlators V: Proof of Modular Invariance and Factorisation
The correlators of two-dimensional rational conformal field theories that are obtained in the TFT construction of [ I , II , IV ] are shown to be invariant under the action of the relative modular group and to obey bulk and boundary factorisation constraints. We present results both for conformal field theories defined on oriented surfaces and for theories defined on unoriented surfaces. In the...
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ژورنال
عنوان ژورنال: Journal of High Energy Physics
سال: 2021
ISSN: 1029-8479
DOI: 10.1007/jhep02(2021)158