Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1992-03-17
Phys.Lett. B286 (1992) 271-278
Physics
High Energy Physics
High Energy Physics - Theory
11 pages, Standard LATEX file
Scientific paper
10.1016/0370-2693(92)91774-4
NON-ABELIAN TODA THEORIES are shown to provide EXACTLY SOLVABLE conformal systems in the presence of a BLACK HOLE which may be regarded as describing a string propagating in target space with a black-hole metric. These theories are associated with non-canonical $\bf Z$-gradations of simple algebras, where the gradation-zero subgroup is non-abelian. They correspond to gauged WZNW models where the gauge group is nilpotent and are thus basically different from the ones currently considered following Witten. The non-abelian Toda potential gives a cosmological term which may be exactly integrated at the classical level.
Gervais Jean-Loup
Saveliev Mikhail V.
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