Ladislav Hlavaty, Ivo Petr
We explicitly solve the classical equations of motion for strings in backgrounds obtained as non-abelian T-duals of a homogeneous isotropic plane wave. To construct the dual backgrounds, semi-abelian Drinfeld doubles are used which contain the isometry group of the homogeneous plane wave metric. The dual solutions are then found by the Poisson--Lie transformation of the explicit solution of the original homogeneous plane wave background. Investigating their Killing vectors, we have found that some of the dual backgrounds can be transformed to the form of homogeneous plane wave.
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http://arxiv.org/abs/1308.0153
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