Representation theory in chiral conformal field theory: from fields to observables

DOI10.1007/s00029-019-0526-3zbMath1436.81122arXiv1810.08168OpenAlexW3100945542WikidataQ126756990 ScholiaQ126756990MaRDI QIDQ2286177

James E. Tener

Publication date: 10 January 2020

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.08168

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Vertex operators; vertex operator algebras and related structures (17B69) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Axiomatic quantum field theory; operator algebras (81T05) Applications of selfadjoint operator algebras to physics (46L60) Subfactors and their classification (46L37)

Related Items

Unitary vertex algebras and Wightman conformal field theories ⋮ Categorical extensions of conformal nets ⋮ Subfactors and mathematical physics ⋮ Haploid algebras in \(C^*\)-tensor categories and the Schellekens list ⋮ Energy bounds for vertex operator algebra extensions ⋮ Convergence of sewing conformal blocks ⋮ Geometric positivity of the fusion products of unitary vertex operator algebra modules ⋮ Wightman fields for two-dimensional conformal field theories with pointed representation category ⋮ Regular vertex operator subalgebras and compressions of intertwining operators ⋮ Polynomial energy bounds for type F4 WZW-models ⋮ Local energy bounds and strong locality in chiral CFT

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