CONSTRUCTION FORMULAE FOR SINGULAR VECTORS OF THE TOPOLOGICAL AND OF THE RAMOND N = 2 SUPERCONFORMAL ALGEBRAS

DOI10.1142/S0217751X02010807zbMath1026.81060arXivhep-th/0109184OpenAlexW3103784079MaRDI QIDQ4792856

Beatriz Gato-Rivera

Publication date: 17 February 2003

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

Full work available at URL: https://arxiv.org/abs/hep-th/0109184

zbMATH Keywords

superconformal field theorysingular vectorssuperconformal algebrassuperstringsRamond algebraNeveu-Schwarz algebra

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Supersymmetric field theories in quantum mechanics (81T60) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30)

Related Items (4)

Lie super-bialgebra structures on the Ramond \(N = 2\) super-Virasoro algebra ⋮ Derivation algebra and automorphism group of generalized topological \(N=2\) superconformal algebra ⋮ On Twisted Modules for N=2 Supersymmetric Vertex Operator Superalgebras ⋮ On the Correspondence Between Mirror-Twisted Sectors for N = 2 Supersymmetric Vertex Operator Superalgebras of the Form V ⊗ V and N = 1 Ramond Sectors of V

Cites Work

• Determinant formulae and unitarity for the \(N=2\) superconformal algebras in two dimensions or exact results on string compactification
• Infinite conformal symmetry in two-dimensional quantum field theory
• Topological sigma models
• 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 even and the odd spectral flows on the \(N=2\) superconformal algebras
• Transmutations between singular and subsingular vectors of the \(N=2\) superconformal algebras.
• Determinant formula for the topological \(N=2\) superconformal algebra.
• Degenerate conformal field theories and explicit expressions for some null vectors
• Fusion and singular vectors in \(A_ 1^{(1)}\) highest weight cyclic modules
• Analytic expression for singular vectors of the \(N=2\) superconformal algebra
• Extended \(N=2\) superconformal structure of gravity and \(W\)-gravity coupled to matter
• THE OTHER SPECTRAL FLOW
• SINGULAR VECTORS OF THE N=2 SUPERCONFORMAL ALGEBRA
• Singular dimensions of the \(N=2\) superconformal algebras. II: The twisted \(N=2\) algebra

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