D-branes in AdS3 × S3 × 𝕋4 at k = 1 and their holographic duals
Matthias R. Gaberdiel, Bob Knighton, Jakub Vošmera
Abstract
A bstract String theory on AdS 3 × S 3 × 𝕋 4 with minimal k = 1 NS-NS flux can be described in terms of a free field worldsheet theory in the hybrid formalism. We construct various D-branes of this string theory and calculate their associated cylinder amplitudes. We find that these amplitudes match with the cylinder correlators of certain boundary states of the dual symmetric orbifold CFT Sym(𝕋 4 ), thus suggesting a direct correspondence between these boundary conditions. We also show that the disk amplitudes of these D-branes localise to those points in the worldsheet moduli space where the worldsheet disk holomorphically covers the spacetime disk.
Topics & Concepts
WorldsheetPhysicsDual polyhedronOrbifoldBrane cosmologyModuli spaceMathematical physicsString theorySpacetimeConformal field theoryBraneAnti-de Sitter spaceD-braneAmplitudeTheoretical physicsQuantum electrodynamicsString field theoryQuantum mechanicsConformal mapGeometryMathematicsBlack Holes and Theoretical PhysicsCosmology and Gravitation TheoriesNonlinear Waves and Solitons