Ramond-Ramond Flux Stabilization of D-Branes

Abstract

In AdS_n x S^m threaded by N-units of Ramond-Ramond flux, the dynamics of a Dm-brane wrapped on S^{m-1} embedded in S^m is investigated. Under the condition that flux of the dual gauge field on the D-brane worldvolume is quantized integrally, It is found that the wrapped D-brane is stable both locally and globally and, on AdS_n, behaves effectively as a fundamental string. It is also claimed that the semi-infinite partially wrapped D-brane `lasso' around the S^m.

10 pages, Latex, v2. typos corrected, v3. typos corrected and 1 ref. added v4. grant acknowledgement number changed v5. to appear in Physics Letters B

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• Dielectric-Branes
• Non-commutative World-volume Geometries: Branes on SU(2) and Fuzzy Spheres
• Brane Dynamics in Background Fluxes and Non-commutative Geometry
• Flux Stabilization of D-branes

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