Chiral determinant formulae and subsingular vectors for the \(N=2\) superconformal algebras

DOI10.1016/S0550-3213(97)00473-2zbMath0973.81517arXivhep-th/9706041MaRDI QIDQ1367554

Beatriz Gato-Rivera, José Ignacio Rosado

Publication date: 24 September 1997

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9706041

zbMATH Keywords

topological algebraantiperiodic Neveu Schwarz algebrahighest weight singular vectorsincomplete Verma modulesperiodic Ramond algebraRamond ground statesspectral flow symmetries

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Applications of Lie (super)algebras to physics, etc. (17B81) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)

Related Items (10)

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 ⋮ Unitarizable highest weight modules of the \(N = 2\) super Virasoro algebras: untwisted sectors ⋮ 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 ⋮ The embedding structure of unitary \(N=2\) minimal models ⋮ Transmutations between singular and subsingular vectors of the \(N=2\) superconformal algebras. ⋮ Determinant formula for the topological \(N=2\) superconformal algebra. ⋮ Highest weight representations of the \(N=1\) Ramond algebra

Cites Work

• Unnamed Item
• Singular vectors and topological theories from Virasoro constraints via the Kontsevich-Miwa transform
• Determinant formulae and unitarity for the \(N=2\) superconformal algebras in two dimensions or exact results on string compactification
• Families of singular and subsingular vectors of the topological \(N=2\) superconformal algebra
• The even and the odd spectral flows on the \(N=2\) superconformal algebras
• Extended \(N=2\) superconformal structure of gravity and \(W\)-gravity coupled to matter
• THE OTHER SPECTRAL FLOW
• THE MFF SINGULAR VECTORS IN TOPOLOGICAL CONFORMAL THEORIES
• Anomaly-free two-dimensional chiral supergravity -- matter models and consistent string theories

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