Open Strings and D-branes in WZNW model

Details Open Strings and D-branes in WZNW model Open Strings and D-branes in WZNW model

1996-09-14

arxiv.org/abs/hep-th/9609112v1

Nucl.Phys. B488 (1997) 653-676

Physics

High Energy Physics

High Energy Physics - Theory

28 pages, LaTeX

Scientific paper

10.1016/S0550-3213(97)00029-1

An abundance of the Poisson-Lie symmetries of the WZNW models is uncovered. They give rise, via the Poisson-Lie $T$-duality, to a rich structure of the dual pairs of $D$-branes configurations in group manifolds. The $D$-branes are characterized by their shapes and certain two-forms living on them. The WZNW path integral for the interacting $D$-branes diagrams is unambiguously defined if the two-form on the $D$-brane and the WZNW three-form on the group form an integer-valued cocycle in the relative singular cohomology of the group manifold with respect to its $D$-brane submanifold. An example of the $SU(N)$ WZNW model is studied in some detail.

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