Nonreductive WZW models and their CFTs

Details Nonreductive WZW models and their CFTs Nonreductive WZW models and their CFTs

1995-06-22

arxiv.org/abs/hep-th/9506151v2

Nucl.Phys. B458 (1996) 137-164

Physics

High Energy Physics

High Energy Physics - Theory

dvi.uu (34 pages)

Scientific paper

10.1016/0550-3213(95)00556-0

We study two-dimensional WZW models with target space a nonreductive Lie group. Such models exist whenever the Lie group possesses a bi-invariant metric. We show that such WZW models provide a lagrangian description of the nonreductive (affine) Sugawara construction. We investigate the gauged WZW models and we prove that gauging a diagonal subgroup results in a conformal field theory which can be identified with a coset construction. A large class of exact four-dimensional string backgrounds arise in this fashion. We then study the topological conformal field theory resulting from the $G/G$ coset. We identify the Kazama algebra extending the BRST algebra, and the BV algebra structure in BRST cohomology which it induces.

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