Anti-de Sitter D-branes in Curved Backgrounds

Abstract

We investigate the properties of the AdS D1-branes which are the bound states of a curved D1-brane with $n$ fundamental strings (F1) in the $Ad{S}_3$ spacetime, and the AdS D2-branes which are the axially symmetric bound states of a curved D2-brane with $m$ D0-branes and $n$ fundamental strings in the $Ad{S}_3\times S^3$ spacetime. We see that, while the AdS D1-branes asymptotically approach to the event horizon of the $Ad{S}_3$ spacetime the AdS D2-branes will end on it. As the near horizon geometry of the F1/NS5 becomes the spacetime of $Ad{S}_3\times S^3\times T^4$ with NS-NS three form turned on, we furthermore investigate the corresponding AdS D-branes in the NS5-branes and macroscopic F-strings backgrounds, as an attempt to understand the origin of the AdS D-branes. From the found DBI solutions we see that in the F-strings background, both of the AdS D1-branes and AdS D2-branes will asymptotically approach 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 it carries sufficient D0-branes charges. We also see that there does not exist any stable AdS D-branes in the NS5-branes backgrounds. We present physical arguments to explain these results, which could help us in understanding the intriguing mechanics of the formation of the AdS D-branes.

Latex 19 pages, typos corrected and correct some physical discussions

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Cited by in corpus (8)

• Fuzzy Sphere Dynamics and Non-Abelian DBI in Curved Backgrounds
• Dynamics of D1-brane in I-brane Background
• Electrified Fuzzy Spheres and Funnels in Curved Backgrounds
• Note about Static D1-brane in I-brane Background
• Giant Magnons under NS-NS and Melvin Fields
• On modular properties of the AdS3 CFT
• Anti-de Sitter D-brane dynamics
• Strings and D-branes in curved space-time