Poisson-Lie T-plurality

Details Poisson-Lie T-plurality Poisson-Lie T-plurality

2002-05-23

arxiv.org/abs/hep-th/0205245v2

JHEP 0207 (2002) 014

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 16+1 pages, v2: Clarifying comments added

Scientific paper

10.1088/1126-6708/2002/07/014

We extend the path-integral formalism for Poisson-Lie T-duality to include the case of Drinfeld doubles which can be decomposed into bi-algebras in more than one way. We give the correct shift of the dilaton, correcting a mistake in the litterature. We then use the fact that the six dimensional Drinfeld doubles have been classified to write down all possible conformal Poisson-Lie T-duals of three dimensional space times and we explicitly work out two duals to the constant dilaton and zero anti-symmetric tensor Bianchi type V space time and show that they satisfy the string equations of motion. This space-time was previously thought to have no duals because of the tracefulness of the structure constants.

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