Superconformal coset equivalence from level-rank duality

DOI10.1016/S0550-3213(97)00579-8zbMath0925.17037arXivhep-th/9705149MaRDI QIDQ1371609

Stephen G. Naculich, Howard J. Schnitzer

Publication date: 29 October 1997

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

Full work available at URL: https://arxiv.org/abs/hep-th/9705149

zbMATH Keywords

Wess-Zumino-Witten modelsWZW modelsmodular transformation matricescomplex Grassmannian cosetsKazama Suzuki modelsN=2 superconformal models

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

Higher spin \({\mathrm{AdS}}_3\) holography with extended supersymmetry, Three-point functions in \( \mathcal{N}=2 \) higher-spin holography, Level-rank duality of D-branes on the \(\text{SU}(N)\) group manifold, D-branes and matrix factorisations in supersymmetric coset models, Twisted boundary states in Kazama-Suzuki models, The Grassmannian VOA, Large-\(N\) limits of 2d CFTs, quivers and \(\mathrm{AdS}_3\) duals, Algebraic coset conformal field theories. II, Higher spin \(\operatorname{AdS}_{3}\) supergravity and its dual CFT

Cites Work

• The branching rules of conformal embeddings
• Unitary representations of the Virasoro and super-Virasoro algebras
• Modular and conformal invariance constraints in representation theory of affine algebras
• Level-rank duality of WZW models in conformal field theory
• Level-rank duality of WZW theories and isomorphisms of \(N=2\) coset models
• Grassmannian topological Kazama-Suzuki models and cohomology
• The resolution of field identification fixed points in diagonal coset theories
• Graphs and reflection groups
• Non-Hermitian symmetric \(N=2\) coset models, Poincaré polynomials, and string compactification.
• Level-rank duality in nonunitary coset theories
• SIMPLE CURRENTS, MODULAR INVARIANTS AND FIXED POINTS