Comments on D-branes in AdS_3

Abstract

We study D-branes that preserve a diagonal SL(2) affine Lie algebra in string theory on AdS_3. We find three classes of solutions, corresponding to the following representations of SL(2): (1) degenerate, finite dimensional representations with half integer spin, (2) principal continuous series, (3) principal discrete series. We solve the bootstrap equations for the vacuum wave functions and discuss the corresponding open string spectrum. We argue that from the point of view of the AdS/CFT correspondence, the above D-branes introduce boundaries with conformal boundary conditions into the two dimensional spacetime. Open string vertex operators correspond to boundary perturbations. We also comment on the geometric interpretation of the branes.

42 pages, harvmac; minor changes

References in corpus (9)

• Open and Closed String Interpretation of SUSY CFT's on Branes with Boundaries
• A Matrix Model for the Two Dimensional Black Hole
• Liouville field theory on a pseudosphere
• Localized Gravity in String Theory
• Anti-de-Sitter D-branes
• Little String Theory at a TeV
• Comments on the Thermodynamics of Little String Theory
• Some comments on Anti-de Sitter D-branes
• String Theory on AdS_3 and Symmetric Products

Cited by in corpus (57)

• Liouville Field Theory -- A decade after the revolution
• Branes in the 2D black hole
• Super Liouville Theory with Boundary
• Modular Bootstrap for Boundary N=2 Liouville Theory
• The Partition Function of the Two-Dimensional Black Hole Conformal Field Theory
• Boundary States for AdS_2 Branes in AdS_3
• Branes in the Euclidean AdS_3
• Lectures on Branes in Curved Backgrounds
• D-branes in N=2 Liouville and its mirror
• Non-local string theories on AdS_3 times S^3 and stable non-supersymmetric backgrounds
• D-branes and extended characters in SL(2,R)/U(1)
• Non-compact String Backgrounds and Non-rational CFT
• Holographic RG Flow on the Defect and g-Theorem
• Type 0 Strings in a 2-d Black Hole
• Little Strings, Long Strings, and Fuzzballs
• Open Strings on AdS_2 Branes
• Boundary Spectra in Superspace Sigma-Models
• Conifold Type Singularities, N=2 Liouville and SL(2;R)/U(1) Theories
• N=2 Liouville Theory with Boundary
• D-branes and BCFT in Hpp-wave backgrounds
• Boundary States for D-branes in $Ad{S}_3$
• Defects and Permutation branes in the Liouville field theory
• D-Brane Propagation in Two-Dimensional Black Hole Geometries
• Properties of branes in curved spacetimes
• Supersymmetric D-branes in the D1-D5 background
• Liouville Field Theory on an Unoriented Surface
• D-branes in 2d Lorentzian black hole
• Notes on the Verlinde formula in non-rational conformal field theories
• Open String Attractors
• New Supergravity Solutions for Branes in AdS_3 x S^3
• Giant Magnons under NS-NS and Melvin Fields
• Anti-de Sitter D-branes in Curved Backgrounds
• AdS_2 D-Branes in Lorentzian AdS_3
• Are there really any AdS_2 branes in the euclidean (or not) AdS_3?
• Supergravity Solutions for $Ad{S}_3\times S^3$ branes
• Penrose limit and string quantization in AdS_3 \times S^3
• Zamolodchikov operator-valued relations for SL(2,R)_k WZNW model
• Crosscap States for Orientifolds of Euclidean AdS_3
• D-branes in some near-horizon geometries
• On modular properties of the AdS3 CFT
• Revisiting D-branes in $Ad{S}_3\times S^3$
• Disk one-point function for non-rational conformal theories
• Nonstatic AdS_2 Branes and the Isometry Group of AdS_3 Spacetime
• 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
• Inner brane: A D3-brane in the Nappi-Witten model from an inner group automorphism
• Notes on the SL(2,R) CFT
• D1-brane with Overcritical Electric Field in AdS3 and S-brane
• On the Various Types of D-Branes in the Boundary H3+ Model
• D-branes in ${\mathrm{AdS}}_3\times {\mathrm{S}}^3\times {\mathbb{T}}^4$ at $k=1$ and their holographic duals
• D-branes in the Euclidean $Ad{S}_3$ and T-duality
• Higher Equations of Motion in N=2 Superconformal Liouville Field Theory
• On Factorization Constraints for Branes in the H3+ Model
• Lecture notes on strings in AdS${}_3$ from the worldsheet and the AdS${}_3$/CFT${}_2$ duality
• A Defect in AdS3/CFT2 Duality
• Characters of $\widehat{sl}(4{)}_k$ fusion algebra at non-rational level