EMBEDDING DIAGRAMS OF THE N=2 SUPERCONFORMAL ALGEBRA UNDER SPECTRAL FLOW

DOI10.1142/S0217751X04021020zbMath1078.81031arXivhep-th/0306073MaRDI QIDQ4665299

Hanno Klemm

Publication date: 11 April 2005

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0306073

zbMATH Keywords

representation theoryembedding diagrams\(N=2\) superconformal algebra

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)

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Cites Work

• Determinant formulae and unitarity for the \(N=2\) superconformal algebras in two dimensions or exact results on string compactification
• The structure of Verma modules over the \(N=2\) superconformal algebra
• Unitarity of rational \(N=2\) superconformal theories
• Chiral determinant formulae and subsingular vectors for the \(N=2\) superconformal algebras
• Families of singular and subsingular vectors of the topological \(N=2\) superconformal algebra
• The embedding structure of unitary \(N=2\) minimal models
• Resolutions and characters of irreducible representations of the \(N=2\) superconformal algebra
• Transmutations between singular and subsingular vectors of the \(N=2\) superconformal algebras.
• Analytic expression for singular vectors of the \(N=2\) superconformal algebra
• SINGULAR VECTORS OF THE N=2 SUPERCONFORMAL ALGEBRA
• Fusion of Twisted Representations

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