Superconformal Coset Equivalence from Level-Rank Duality

Abstract

We construct a one-to-one map between the primary fields of the N=2 superconformal Kazama-Suzuki models G(m,n,k) and G(k,n,m) based on complex Grassmannian cosets, using level-rank duality of Wess-Zumino-Witten models. We then show that conformal weights, superconformal U(1) charges, modular transformation matrices, and fusion rules are preserved under this map, providing strong evidence for the equivalence of these coset models.

25 pages, harvmac, no figures, added reference

References in corpus (6)

• The resolution of field identification fixed points in diagonal coset theories
• Graphs and Reflection Groups
• Level-Rank Duality of WZW Theories and Isomorphisms of N=2 Coset Models
• Non-Hermitian Symmetric N=2 Coset Models, Poincare Polynomials, and String Compactification
• Some General Aspects of Coset Models and Topological Kazama-Suzuki Models
• Grassmannian Topological Kazama-Suzuki Models and Cohomology

Cited by in corpus (14)

• Higher spin AdS_3 supergravity and its dual CFT
• Product CFTs, gravitational cloning, massive gravitons and the space of gravitational duals
• Extended higher spin holography and Grassmannian models
• Higher spin AdS_3 holography with extended supersymmetry
• Three-Point Functions in N=2 Higher-Spin Holography
• Large-N limits of 2d CFTs, Quivers and AdS_3 duals
• D-branes in N=2 coset models and twisted equivariant K-theory
• Comments on D-branes in Kazama-Suzuki models and Landau-Ginzburg theories
• Level-rank duality of D-branes on the SU(N) group manifold
• Twisted boundary states in Kazama-Suzuki models
• Limit theories and continuous orbifolds
• D-branes and matrix factorisations in supersymmetric coset models
• Generalized Dynkin diagrams and root systems and their folding
• The Grassmannian VOA