Ramond–Ramond flux stabilization of D-branes

In AdSn×Sm threaded by N-units of Ramond–Ramond flux, the dynamics of a Dm-brane wrapped partially on Sm−1⊂Sm is investigated. Under the condition that flux of the dual gauge field on the D-brane world-volume is quantized integrally, it is found that the wrapped D-brane is stable both locally and globally and, on AdSn, behaves effectively as a fundamental string. It is also claimed that the semi-infinite, partially wrapped Dm-brane can ‘lasso’ around the Sm.