Non-Abelian coset string backgrounds from asymptotic and initial data

Abstract

We describe hierarchies of exact string backgrounds obtained as non-Abelian cosets of orthogonal groups and having a space--time realization in terms of gauged WZW models. For each member in these hierarchies, the target-space backgrounds are generated by the ``boundary'' backgrounds of the next member. We explicitly demonstrate that this property holds to all orders in ${\alpha }^{\prime }$. It is a consequence of the existence of an integrable marginal operator build on, generically, non-Abelian parafermion bilinears. These are dressed with the dilaton supported by the extra radial dimension, whose asymptotic value defines the boundary. Depending on the hierarchy, this boundary can be time-like or space-like with, in the latter case, potential cosmological applications.

26 pages

References in corpus (2)

• Heterotic strings on homogeneous spaces
• NS5-branes on an ellipsis and novel marginal deformations with parafermions

Cited by in corpus (8)

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• Solving field equations in non-isometric coset CFT backgrounds
• Asymptotic Symmetries of Three-Dimensional Black Strings
• Novel integrable interpolations
• Scale without conformal invariance from integrable deformations of coset CFTs
• Kerr-Schild perturbations of coset CFTs as scale invariant integrable $\sigma$-models