1995/02/28 by C. Klimcik, P. Severa · 1 citation
Physics and Astronomy · #hep-th
paper · pdf · doi:10.1016/0370-2693(95)00451-p
published as Phys.Lett.B351:455-462,1995 · (misprint in the bialgebra condition corrected)
arxiv created 1995/07/10 · arxiv updated 2009/11/30
The standard notion of the non-Abelian duality in string theory is generalized to the class of \si-models admitting `non-commutative conserved charges'. Such \si-models can be associated with every Lie bialgebra (\cg ,\cgt) and they possess an isometry group iff the commutant [\cgt,\cgt] is not equal to \cgt. Within the enlarged class of the backgrounds the non-Abelian duality \it is a duality transformation in the proper sense of the word. It exchanges the roles of \cg and \cgt and it can be interpreted as a symplectomorphism of the phase spaces of the mutually dual theories. We give explicit formulas for the non-Abelian duality transformation for any (\cg,\cgt). The non-Abelian analogue of the Abelian modular space O(d,d;\bf Z) consists of all maximally isotropic decompositions of the corresponding Drinfeld double.