D-branes in the Euclidean $AdS_3$ and T-duality

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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29 pages, LaTeX, references added

Scientific paper

10.1007/s10773-007-9361-y

We show that D-branes in the Euclidean $AdS_3$ can be naturally associated to the maximally isotropic subgroups of the Lu-Weinstein double of SU(2). This picture makes very transparent the residual loop group symmetry of the D-brane configurations and gives also immediately the D-branes shapes and the $\sigma$-model boundary conditions in the de Sitter T-dual of the $SL(2,C)/SU(2)$ WZW model.

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