The classification of non-local chiral CFT with \(c < 1\)

DOI10.1007/s00220-007-0199-1zbMath1131.81031arXivmath/0505130OpenAlexW2167804310MaRDI QIDQ2472455

Ulrich Pennig, Roberto Longo, Yasuyuki Kawahigashi, Karl-Henning Rehren

Publication date: 22 February 2008

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0505130

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Miscellaneous applications of number theory (11Z05) Subfactors and their classification (46L37)

Related Items (5)

How to add a boundary condition ⋮ A relative tensor product of subfactors over a modular tensor category ⋮ From operator algebras to superconformal field theory ⋮ How to remove the boundary in CFT --- an operator algebraic procedure ⋮ An application of mirror extensions

Cites Work

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• Classification of two-dimensional local conformal nets with \(c<1\) and 2-cohomology vanishing for tensor categories
• Classification of local conformal nets. Case \(c < 1\)
• Chiral structure of modular invariants for subfactors
• LOCAL FIELDS IN BOUNDARY CONFORMAL QFT
• NETS OF SUBFACTORS
• Multi-interval subfactors and modularity of representations in conformal field theory

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