Vertex operator algebras, minimal models, and modular linear differential equations of order 4

DOI10.2969/jmsj/74957495zbMath1406.81081OpenAlexW2889156110MaRDI QIDQ1712753

Kiyokazu Nagatomo, Yuichi Sakai, Yusuke Arike

Publication date: 31 January 2019

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.jmsj/1535616221

zbMATH Keywords

modular invarianceminimal modelsmodular linear differential equations2D-chiral conformal field theory

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Vertex operators; vertex operator algebras and related structures (17B69) Holomorphic modular forms of integral weight (11F11)

Related Items (9)

The third order modular linear differential equations ⋮ Hecke relations, cosets and the classification of 2d RCFTs ⋮ Modular differential equations of the elliptic genus of Calabi-Yau fourfolds ⋮ Modular differential equations with movable poles and admissible RCFT characters ⋮ Vertex operator algebras with central charge 8 and 16 ⋮ Character vectors of strongly regular vertex operator algebras ⋮ Vertex operator algebras with positive central charges whose dimensions of weight one spaces are 8 and 16 ⋮ Galois symmetry induced by Hecke relations in rational conformal field theory and associated modular tensor categories ⋮ The Pollica perspective on the (super)-conformal world

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