Nonreductive WZW models and their CFTs, II: N=1 and N=2 cosets

Physics – High Energy Physics – High Energy Physics - Theory

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45 pages, latex2e [elsart style, ams{text,fonts,symb} packages] (Some typos corrected in some formulae in the appendix)

Scientific paper

10.1016/S0550-3213(96)00650-5

In hep-th/9506151 we started a programme devoted to the systematic study of the conformal field theories derived from WZW models based on nonreductive Lie groups. In this, the second part, we continue this programme with a look at the N=1 and N=2 superconformal field theories which arise from both gauged and ungauged supersymmetric WZW models. We extend the supersymmetric (affine) Sugawara and coset constructions, as well as the N=2 Kazama--Suzuki construction to general self-dual Lie algebras.

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