Dilatons in curved backgrounds by the Poisson–Lie transformation
نویسنده
چکیده
Transformations between group coordinates of three–dimensional conformal σ–models in the flat background and their flat, i.e. Riemannian coordinates enable to find general dilaton fields for three–dimensional flat σ–models. By the Poisson–Lie transformation we can get dilatons for the dual σ–models in a curved background. Unfortunately, in some cases the dilatons depend on inadmissible auxiliary variables so the procedure is not universal. The cases where the procedure gives proper and nontrivial dilatons in curved backgrounds are investigated and results given.
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