Are there really any AdS_2 branes in the euclidean (or not) AdS_3?

Abstract

We do not find any AdS_2 branes, neither in the H_3^+ 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 AdS_3. This cannot be realized in an euclidean spacetime, but in the SL(2,R) WZNW model by analytical continuation.

7 pages; v2: more explanations

References in corpus (4)

• Boundary States for AdS_2 Branes in AdS_3
• Branes in the Euclidean AdS_3
• Monodromy of solutions of the Knizhnik-Zamolodchikov equation: SL(2,C)/SU(2) WZNW model
• Asymptotic symmetries of AdS2 Branes

Cited by in corpus (8)

• Boundary action of the H3+ model
• Liouville Field Theory on an Unoriented Surface
• Anti-de Sitter D-branes in Curved Backgrounds
• AdS_2 D-Branes in Lorentzian AdS_3
• Zamolodchikov operator-valued relations for SL(2,R)_k WZNW model
• Revisiting D-branes in $Ad{S}_3\times S^3$
• Disk one-point function for non-rational conformal theories
• On the Various Types of D-Branes in the Boundary H3+ Model