Ramond-Ramond Flux Stabilization of D-Branes

TL;DR

The paper investigates the stability of D-branes partially wrapped on spheres within $AdS_n\times S^m$ backgrounds threaded by RR flux.Using the DBI action with CS couplings to RR potentials, it derives stable partially wrapped configurations for D3-branes in $AdS_3\times S^3$ and D5-branes in $AdS_5\times S^5$, showing they act as effective fundamental strings in the AdS directions and possess quantized charge modulations tied to the RR flux.A global fluctuation analysis reveals discrete spectra with Goldstone multiplets, confirming harmonic stability and suggesting a fuzzy geometric description in line with Myers-like constructions, while also highlighting subtleties in charge definitions in RR backgrounds.The work connects semi-infinite strings to baryon vertex physics via a proposed lasso mechanism that conserves charge modulo $N$, and discusses open problems such as curvature corrections and nontrivial bound-state formations.

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.