Some General Aspects of Coset Models and Topological Kazama-Suzuki Models
نویسنده
چکیده
We study global aspects of N = 2 Kazama-Suzuki coset models by investigating topological G/H Kazama-Suzuki models in a Lagrangian framework based on gauged Wess-Zumino-Witten models. To that end, we first generalize Witten’s analysis of the holomorphic factorization of bosonic G/H models to models with N = 1 and N = 2 supersymmetry, in the course of which we also find some new anomaly-free and supersymmetric models based on non-diagonal embeddings of the gauge group. We then explain the basic properties (action, symmetries, metric independence, ...) of the topologically twisted G/H Kazama-Suzuki models. As non-trivial gauge bundles unavoidably occur, we explain how all of the above generalizes to that case.
منابع مشابه
The large level limit of Kazama - Suzuki models
superconformal Wn+1 minimal models that appear in the context of the supersymmetric higher-spin AdS3/CFT2 duality. These models are constructed as Kazama-Suzuki coset models of the form SU(n+1)/U(n). We determine a family of boundary conditions in the limit theories, and use the modular bootstrap to obtain the full bulk spectrum of N = 2 super-Wn+1 primaries in the theory. We also confirm the i...
متن کاملGrassmannian Topological Kazama-Suzuki Models and Cohomology
We investigate in detail the topological gauged Wess-Zumino-Witten models describing topological Kazama-Suzuki models based on complex Grassmannians. We show that there is a topological sector in which the ring of observables (constructed from the Grassmann odd scalars of the theory) coincides with the classical cohomology ring of the Grassmannian for all values of the level k. We perform a det...
متن کاملThe geometry of supersymmetric coset models and superconformal algebras
An on-shell formulation of (p, q), 2 ≤ p ≤ 4, 0 ≤ q ≤ 4, supersymmetric coset models with target space the group G and gauge group a subgroup H of G is given. It is shown that there is a correspondence between the number of supersymmetries of a coset model and the geometry of the coset space G/H . The algebras of currents of supersymmetric coset models are superconformal algebras. In particular...
متن کاملBrst Invariant Branching Functions of G/h Coset Models
We compute branching functions of G/H coset models using a BRST invariant branching function formulae, i.e. a branching function that respects a BRST invariance of the model. This ensures that only the coset degrees of freedom will propagate. We consider G/H for rank(G/H) = 0 models which includes the Kazama-Suzuki construction, and Gk1 ×Gk2/Gk1+k2 models. Our calculations here confirm in part ...
متن کاملPoincare Polynomials and Level Rank Dualities in the N = 2 Coset Construction
We review the coset construction of conformal field theories; the emphasis is on the construction of the Hilbert spaces for these models, especially if fixed points occur. This is applied to the N = 2 superconformal cosets constructed by Kazama and Suzuki. To calculate heterotic string spectra we reformulate the Gepner construction in terms of simple currents and introduce the so-called extende...
متن کامل