Black Holes from Non-Abelian Toda Theories

Abstract

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 $\mathbf{Z}$-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.

11 pages, Standard LATEX file

References in corpus (1)

• W-Geometries

Cited by in corpus (24)

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• Real Forms of Non-abelian Toda Theories and their W-algebras
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• Maximally nonabelian Toda systems
• Noncoaxial multivortices in the complex sine-Gordon theory on the plane
• Integration of the SL(2,R)/U(1) Gauged WZNW Model with Periodic Boundary Conditions
• Pohlmeyer reduction for superstrings in AdS space
• Supersymmetric Black Holes from Toda Theories
• Gravitational dressing of massive soliton theories
• Naked Singularities in Four-Dimensional String Backgrounds
• Quantum Parafermions in the SL(2,R)/U(1) WZNW Black Hole Model