Anti-de Sitter D-branes in curved backgrounds

We investigate the properties of the AdS D1-branes which are the bound statesof a curved D1-brane with $n$ fundamental strings (F1) in the $AdS_3$spacetime, and the AdS D2-branes which are the axially symmetric bound statesof a curved D2-brane with $m$ D0-branes and $n$ fundamental strings in the$AdS_3 \times S^3$ spacetime. We see that, while the AdS D1-branesasymptotically approach to the event horizon of the $AdS_3$ spacetime the AdSD2-branes will end on it. As the near horizon geometry of the F1/NS5 becomesthe spacetime of $AdS_3 \times S^3 \times T^4$ with NS-NS three form turned on,we furthermore investigate the corresponding AdS D-branes in the NS5-branes andmacroscopic F-strings backgrounds, as an attempt to understand the origin ofthe AdS D-branes. From the found DBI solutions we see that in the F-stringsbackground, both of the AdS D1-branes and AdS D2-branes will asymptoticallyapproach to the position with a finite distance away from the F-strings.However, the AdS D2-branes therein could also end on the F-strings once itcarries sufficient D0-branes charges. We also see that there does not exist anystable AdS D-branes in the NS5-branes backgrounds. We present physicalarguments to explain these results, which could help us in understanding theintriguing mechanics of the formation of the AdS D-branes.Comment: Latex 19 pages, typos corrected and correct some physical discussion