Some general aspects of coset models and topological Kazama-Suzuki models

Oct, 1995
59 pages
Published in:
  • Nucl.Phys.B 488 (1997) 541-598
e-Print:
Report number:
  • IC-95-340,
  • ENSLAPP-L-556-95

Citations per year

19951998200120042007102
Abstract:
We study global aspects of N=2N=2 Kazama-Suzuki coset models by investigating topological G/HG/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/HG/H models to models with N=1N=1 and N=2N=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/HG/H Kazama-Suzuki models. We employ the path integral methods of localization and abelianization to establish that the twisted G/HG/H models can be localized to bosonic H/HH/H models (with certain quantum corrections), and can hence be reduced to an Abelian bosonic T/TT/T model, TT a maximal torus of HH. We also present the action and the symmetries of the coupling of these models to topological gravity. Finally, we determine the bosonic observables for all the models based on classical flag manifolds and the bosonic observables and their fermionic descendants for models based on complex Grassmannians. These results will be used in subsequent publications to calculate explicitly the chiral primary ring of Kazama-Suzuki models.
Note:
  • 60 pages (50 A4 pages), LaTeX file using amstex.sty (should work with 2e and 2.09; see instructions for use with A4 paper size and/or without amstex.sty) Report-no: IC/95/340, ENSLAPP-L-556/95
  • 11.25.Hf
  • 11.15.-q
  • 11.10.Kk
  • Wess-Zumino-Witten models
  • Coset models
  • Kazama-Suzuki
  • Topological field theory
  • Holomorphic factorization
  • Localization
  • field theory: conformal
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