Some general aspects of coset models and topological Kazama-Suzuki models Original Research Article

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 Wittenʹs 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, etc.) 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.