Abstract
String theory on AdS3× S3× \U0001d54b4 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(\U0001d54b4), 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.
Highlights
Introduction and summaryIt has recently become apparent that string theory on AdS3 × S3 × T4 with minimal (k = 1) NSNS flux is exactly dual to the symmetric orbifold of T4
In this paper we have constructed the spherical D-branes of string theory on AdS3 ×S3 ×T4 for the specific background that is exactly dual to the symmetric orbifold of T4 [2, 3, 6]
Since this background is very stringy, we have used the worldsheet description in terms of an psu(1, 1|2)1 WZW model and constructed the symmetry-preserving boundary states
Summary
[14], this is simple to understand geometrically: since spectral flow corresponds to the winding number along the circular direction of the AdS3 boundary cylinder, only a brane that satisfies a Neumann boundary condition in the angular φ coordinate can couple to these ‘winding’ sectors, see again figure 1. We can apply similar arguments for the AdS2 branes, as was already noticed in [16] This involves a different worldsheet theory that has, in particular, spectrally flowed sectors with w = w, and it is not obvious how this theory is related to the symmetric orbifold theory. The states in (2.3) span the highest weight space from which the full representation Fλ is generated by the action of the negative modes of psu(1, 1|2)
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