Modular forms and second order ordinary differential equations: applications to vertex operator algebras

DOI10.1007/s11005-012-0602-5zbMath1283.11070OpenAlexW2145735741MaRDI QIDQ2377387

Yuichi Sakai, Masanobu Kaneko, Kiyokazu Nagatomo

Publication date: 28 June 2013

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

Full work available at URL: http://hdl.handle.net/2324/26122

zbMATH Keywords

vertex operator algebramodular invariancemodular differential equation

Mathematics Subject Classification ID

Relationship to Lie algebras and finite simple groups (11F22) Vertex operators; vertex operator algebras and related structures (17B69) Holomorphic modular forms of integral weight (11F11)

Related Items (17)

The third order modular linear differential equations ⋮ Affine vertex operator algebras and modular linear differential equations ⋮ Vertex operator algebras with central charge \(1/2\) and \(-68/7\) ⋮ Modular linear differential equations of fourth order and minimal \(\mathcal{W}\)-algebras ⋮ Towards a classification of two-character rational conformal field theories ⋮ Hecke relations, cosets and the classification of 2d RCFTs ⋮ On intermediate Lie algebra \(E_{7+1/2}\) ⋮ Construction of modular differential equations by using Rankin-Cohen brackets ⋮ Modular differential equations with movable poles and admissible RCFT characters ⋮ The intermediate vertex subalgebras of the lattice vertex operator algebras ⋮ Discreteness and integrality in conformal field theory ⋮ Vertex operator algebras, Higgs branches, and modular differential equations ⋮ Wronskian indices and rational conformal field theories ⋮ Kaneko-Zagier type equation for Jacobi forms of index 1 ⋮ Vertex operator algebras and modular invariance ⋮ Rational CFT with three characters: the quasi-character approach ⋮ Classifying three-character RCFTs with Wronskian index equalling 0 or 2

Cites Work

• Unnamed Item
• Modular invariance of vertex operator algebras satisfying \(C_2\)-cofiniteness
• Rationality, quasirationality and finite \(W\)-algebras
• On modular forms arising from a differential equation of hypergeometric type
• On Modular forms of Weight (6n + 1)/5 Satisfying a Certain Differential Equation
• Modular invariance of characters of vertex operator algebras
• VECTOR-VALUED MODULAR FORMS AND LINEAR DIFFERENTIAL OPERATORS

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