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Published September 3, 2001 | Submitted
Journal Article Open

Open Strings on AdS₂ Branes

Abstract

We study the spectrum of open strings on AdS₂ branes in AdS₃ in an NS-NS background, using the SL(2,R) WZW model. When the brane carries no fundamental string charge, the open string spectrum is the holomorphic square root of the spectrum of closed strings in AdS₃. It contains short and long strings, and is invariant under spectral flow. When the brane carries fundamental string charge, the open string spectrum again contains short and long strings in all winding sectors. However, branes with fundamental string charge break half the spectral flow symmetry. This has different implications for short and long strings. As the fundamental string charge increases, the brane approaches the boundary of AdS₃. In this limit, the induced electric field on the worldvolume reaches its critical value, producing noncommutative open string theory on AdS₂.

Additional Information

© 2001 Elsevier Science B.V. Received 28 June 2001; Accepted 2 July 2001. Available online 5 April 2002. It is a pleasure to thank Jaume Gomis and Harlan Robins for enlightening conversations. P.L. , H.O., and J.P. thank the institute for Theoretical Physics, Santa Barbara, for hospitality. This research was supported in part by Department of Energy grant DE-FG03-92ER40701, National Science Foundation grant PHY99-07949, and the Caltech Discovery Fund.

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