Anti-de-Sitter D-branes

Abstract

We study D-branes of the ${SL(2,\bR)}$ WZW model, and of its discrete orbifolds. Gluing the currents by group automorphisms leads to three types of D-branes: two-dimensional hyperbolic planes ($H_2$), de Sitter branes (dS${}_2$), or anti-de-Sitter branes (AdS${}_2$). We explain that the dS${}_2$ branes are unphysical, because the electric field on their worldvolume is supercritical. By combining ${SL(2,\bR)}$ and SU(2), we exhibit a class of supersymmetric AdS${}_2\times S^2$ three-brane worldvolumes, and consider their possible embeddings in the near-horizon region of stringy black holes. We point out the intriguing difference between the induced and the effective geometries of these D-branes, and speculate on its possible significance.

34 pages, 6 eps figures, latex, uses JHEP.cls. Final version to appear in JHEP. Minor corrections, and references added

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