Are there really any AdS2 branes in the euclidean (or not) AdS3?

Abstract

We do not find any AdS2 branes, neither in the H3+ WZNW model nor the SL(2,R) WZNW model. We then reexamine the case of the branes that possess a su(2) symmetry: we speculate that they would have to live on the boundary of AdS3. This cannot be realized in an euclidean spacetime, but in the SL(2,R) WZNW model by analytical continuation.

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