1995/12/19 by C. Klimcik, C. Klimčík, P. Severa +1 · 37 citations
Mathematics · Physics and Astronomy · #Action (physics) #Black Holes and Theoretical Physics #Dual (grammatical number) #Group (periodic table) #Homotopy and Cohomology in Algebraic Topology #Manifold (fluid mechanics) #Noncommutative and Quantum Gravity Theories #Poisson manifold #Space (punctuation) #Symplectic geometry #Symplectic group #Symplectic manifold #hep-th
paper · pdf · doi:10.1016/0370-2693(96)00294-8
published in Physics Letters B 376(1-3), 82-89 (Elsevier BV) · 15 pages, LaTeX (references added)
arxiv created 1995/12/19 · openalex publication_date 1996/05/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Global issues of the Poisson-Lie T-duality are addressed. It is shown that oriented open strings propagating on a group manifold G are dual to D-brane - anti-D-brane pairs propagating on the dual group manifold \ti G. The D-branes coincide with the symplectic leaves of the standard Poisson structure induced on the dual group \ti G by the dressing action of the group G. T-duality maps the momentum of the open string into the mutual distance of the D-branes in the pair. The whole picture is then extended to the full modular space M(D) of the Poisson-Lie equivalent \si-models which is the space of all Manin triples of a given Drinfeld double.T-duality rotates the zero modes of pairs of D-branes living on targets belonging to M(D). In this more general case the D-branes are preimages of symplectic leaves in certain Poisson homogeneous spaces of their targets and, as such, they are either all even or all odd dimensional.