Singular Calabi-Yau manifolds and ADE classification of CFTs

DOI10.1016/S0550-3213(00)00760-4zbMath0986.81088arXivhep-th/0010002MaRDI QIDQ5933217

Masatoshi Nozaki, Michihiro Naka

Publication date: 7 June 2001

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

Full work available at URL: https://arxiv.org/abs/hep-th/0010002

zbMATH Keywords

modular invariantsspectral flow invariant orbitssuperstring propagations

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) String and superstring theories in gravitational theory (83E30) Calabi-Yau manifolds (algebro-geometric aspects) (14J32) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Relationships between surfaces, higher-dimensional varieties, and physics (14J81) Applications of compact analytic spaces to the sciences (32J81)

Related Items

Modular bootstrap for boundary \(\mathcal N = 2\) Liouville theory, D-branes in singular Calabi-Yau \(n\)-fold and \(N=2\) Liouville theory, Landau-Ginzburg description of D-branes on ALE spaces, Supercoset CFTs for string theories on non-compact special holonomy manifolds

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Spectra and symmetries of Gepner models compared to Calabi-Yau compactifications
• Unitary representations of the Virasoro and super-Virasoro algebras
• Modular invariant partition functions in two dimensions
• Anti de Sitter space and holography
• New identities between unitary minimal Virasoro characters
• Fractional branes and wrapped branes.
• Holography for non-critical superstrings
• D-branes in linear dilaton backgrounds
• The Coulomb branch of \((4,4)\) supersymmetric field theories in two dimensions
• Gepner-like description of a string theory on a noncompact singular Calabi-Yau manifold
• Massless black holes and conifolds in string theory
• \(c=1\) string as the topological theory of the conifold
• Two-dimensional black hole and singularities of CY manifolds
• \(D\)-strings on \(D\)-manifolds
• Comments on string dynamics in six dimensions
• Study of \(N=2\) superconformal field theories in 4 dimensions
• D-branes on Calabi-Yau spaces and their mirrors
• Elliptic genera and \(N=2\) superconformal field theory
• ALE MANIFOLDS AND CONFORMAL FIELD THEORIES
• ON THE LANDAU-GINZBURG DESCRIPTION OF N=2 MINIMAL MODELS
• Comments on double scaled little string theory
• Modular invariant critical superstrings on four-dimensional Minkowski space \(\times\) two-dimensional black hole
• Boundary fixed points, enhanced gauge symmetry and singular bundles on \(K3\)
• Modular invariance in superstring on Calabi-Yau \(n\)-fold with A-D-E singularity.
• D-branes on ALE spaces and the ADE classification of conformal field theories