A Problem with Non-Abelian Duality

Details A Problem with Non-Abelian Duality A Problem with Non-Abelian Duality

1993-08-24

arxiv.org/abs/hep-th/9308112v2

Phys.Lett. B319 (1993) 438-444

Physics

High Energy Physics

High Energy Physics - Theory

14pages, CERN-TH.6960/93 ROM2F/93/24 (One reference and one paragraph added)

Scientific paper

10.1016/0370-2693(93)91748-C

We investigate duality transformations in a class of backgrounds with non-Abelian isometries, i.e. Bianchi-type (homogeneous) cosmologies in arbitrary dimensions. Simple duality transformations for the metric and the antisymmetric tensor field, generalizing those known from the Abelian isometry (Bianchi I) case, are obtained using either a Lagrangian or a Hamiltonian approach. Applying these prescriptions to a specific conformally invariant $\s$-model, we show that no dilaton transformation leads to a new conformal background. Some possible ways out of the problem are suggested.

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