Boundary States of D-branes in AdS_3 Based on Discrete Series

Abstract

We study D-branes in the Lorentzian AdS_3 background from the viewpoint of boundary states, emphasizing the role of open-closed duality in string theory. Employing the world sheet with Lorentzian signature, we construct the Cardy states with the discrete series. We show that they are compatible with (1) unitarity and normalizability, and (2) the spectral flow symmetry, in the open string spectrum. We also discuss their brane interpretation. We further show that in the case of superstrings on AdS_3 x S^3 x T^4, our Cardy states yield an infinite number of physical BPS states in the open string channel, on which the spectral flows act consistently.

27 pages, latex, no figures, v2: we discuss on the single cover of AdS_3 rather than the universal cover, reference added, v3: Appendix B and reference added

Cited by in corpus (24)

• Boundary States for AdS_2 Branes in AdS_3
• Non-local string theories on AdS_3 times S^3 and stable non-supersymmetric backgrounds
• Holographic RG Flow on the Defect and g-Theorem
• D-branes in Lorentzian AdS(3)
• Supersymmetric D-branes in the D1-D5 background
• Liouville Field Theory on an Unoriented Surface
• Open String Attractors
• D-branes in 2d Lorentzian black hole
• Anti-de Sitter D-branes in Curved Backgrounds
• Giant Magnons under NS-NS and Melvin Fields
• AdS_2 D-Branes in Lorentzian AdS_3
• Are there really any AdS_2 branes in the euclidean (or not) AdS_3?
• Crosscap States for Orientifolds of Euclidean AdS_3
• Zamolodchikov operator-valued relations for SL(2,R)_k WZNW model
• On modular properties of the AdS3 CFT
• On duality and extended chiral symmetry in the SL(2,R) WZW model
• Disk one-point function for non-rational conformal theories
• Anti-de Sitter D-brane dynamics
• D-Branes in ${\text{AdS}}_3\times {\text{S}}^3\times {\text{S}}^3\times {\text{S}}^1$
• Deformations of anti-de Sitter black holes
• D1-brane with Overcritical Electric Field in AdS3 and S-brane
• D-branes in the Euclidean $Ad{S}_3$ and T-duality
• D-branes in ${\mathrm{AdS}}_3\times {\mathrm{S}}^3\times {\mathbb{T}}^4$ at $k=1$ and their holographic duals
• Strings and D-branes in curved space-time