On intermediate exceptional series

DOI10.1007/S11005-024-01861-5MaRDI QIDQ6622496

Haowu Wang, Kaiwen Sun, Kimyeong Lee

Publication date: 22 October 2024

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

zbMATH Keywords

modular formHecke operatorJacobi formmodular linear differential equationintermediate Lie algebratheta blockvertex operator (super)algebra

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Structure theory for Lie algebras and superalgebras (17B05) Exceptional (super)algebras (17B25) Vertex operators; vertex operator algebras and related structures (17B69) Jacobi forms (11F50)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Quantum reduction and representation theory of superconformal algebras
• The theory of Jacobi forms
• On the road map of Vogel's plane
• Finite vs affine \(W\)-algebras
• Infinite-dimensional Lie algebras, theta functions and modular forms
• Odd symplectic groups
• Hilbert functions of graded algebras
• Magic squares and matrix models of Lie algebras.
• On the exceptional series, and its descendants
• Modular linear differential equations of fourth order and minimal \(\mathcal{W}\)-algebras
• Hecke relations in rational conformal field theory
• Triality, exceptional Lie algebras and Deligne dimension formulas.
• Series of Lie groups
• \(\mathbb{Z}_2 \times \mathbb{Z}_2\) codes and vertex operator algebras
• Supersymmetry and the Suzuki chain
• Holomorphic modular bootstrap revisited
• Bootstrapping fermionic rational CFTs with three characters
• A universal dimension formula for complex simple Lie algebras
• The sextonions and \(E_{7\frac12}\)
• Quasi-lisse vertex algebras and modular linear differential equations
• The intermediate vertex subalgebras of the lattice vertex operator algebras
• The Hilbert series of the one instanton moduli space
• Universal characters from the MacDonald identities
• Affine root systems and Dedekind's \(\eta\)-function
• Hecke relations, cosets and the classification of 2d RCFTs
• The intermediate orthogonal Lie algebra $ \mathfrak{b}_{n-1/2}$ and its finite-dimensional representations
• A kind of magic
• JOSEPH IDEALS AND LISSE MINIMAL -ALGEBRAS
• $\boldsymbol{\mathcal{W}}$-algebras with Non-admissible Levels and the Deligne Exceptional Series
• The intermediate Lie algebra $ \mathfrak{d}_{n-1/2}$, the weight scheme and finite-dimensional representations with highest weight
• SEXTONIONS AND THE MAGIC SQUARE
• Characters and dimensions of highest-weight representations of the intermediate Lie group $ D_{n-1/2}$
• On classification of fermionic rational conformal field theories
• Hecke relations among 2d fermionic RCFTs
• Meromorphic cosets and the classification of three-character CFT
• On intermediate Lie algebra \(E_{7+1/2}\)

This page was built for publication: On intermediate exceptional series

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6622496)