Analytic expression for singular vectors of the \(N=2\) superconformal algebra

DOI10.1007/BF02101186zbMath0867.17020arXivhep-th/9601056OpenAlexW2001875814MaRDI QIDQ1924098

Matthias Dörrzapf

Publication date: 24 July 1997

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

Full work available at URL: https://arxiv.org/abs/hep-th/9601056

zbMATH Keywords

Verma modulessingular vectorssuperconformal algebras

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Virasoro and related algebras (17B68) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)

Related Items (13)

CONSTRUCTION FORMULAE FOR SINGULAR VECTORS OF THE TOPOLOGICAL AND OF THE RAMOND N = 2 SUPERCONFORMAL ALGEBRAS ⋮ THE DEFINITION OF NEVEU–SCHWARZ SUPERCONFORMAL FIELDS AND UNCHARGED SUPERCONFORMAL TRANSFORMATIONS ⋮ Unitarity of rational \(N=2\) superconformal theories ⋮ Families of singular and subsingular vectors of the topological \(N=2\) superconformal algebra ⋮ EMBEDDING DIAGRAMS OF THE N=2 SUPERCONFORMAL ALGEBRA UNDER SPECTRAL FLOW ⋮ \(N=2\) superconformal nets ⋮ 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. ⋮ Determinant formula for the topological \(N=2\) superconformal algebra. ⋮ Fusion of Twisted Representations ⋮ Representations of infinite-dimensional algebras and conformal field theory: From \(N=2\) to \(\widehat{sl} (2|1)\) ⋮ Highest weight representations of the \(N=1\) Ramond algebra

Cites Work

• Determinant formulae and unitarity for the \(N=2\) superconformal algebras in two dimensions or exact results on string compactification
• Covariant differential equations and singular vectors in Virasoro representations
• Singular vectors of the Virasoro algebra
• Degenerate conformal field theories and explicit expressions for some null vectors
• Singular vectors in Verma modules over Kac-Moody algebras
• SINGULAR VECTORS OF THE N=2 SUPERCONFORMAL ALGEBRA

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