Poisson-Lie T plurality

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Authors	VON UNGE Rikard
Year of publication	2002
Type	Article in Periodical
Magazine / Source	Journal of High Energy Physics
MU Faculty or unit	Faculty of Science
Citation
Web	http://www.iop.org/EJ/S/UNREG/abstract/1126-6708/2002/07/014/
Field	Elementary particles and high-energy physics
Keywords	String duality; superstring vacua
Description	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.
Related projects:	Quantum Field Theory, String Theory, Quantum Theory of Gravity