A holographic dual for string theory on AdS(3) x S-3 x S-3 x S-1

Abstract

The CFT dual of string theory on AdS3 × S3 × S3 × S1 is conjectured to be the symmetric orbifold of the Sκ theory, provided that one of the two Q5± quantum numbers is a multiple of the other. We determine the BPS spectrum of the symmetric orbifold in detail, and show that it reproduces precisely the BPS spectrum that was recently calculated in supergravity. We also determine the BPS spectrum of the world-sheet theory that is formulated in terms of WZW models, and show that, apart from some gaps (which are reminiscent of those that appear in the corresponding T4 calculation), it also reproduces this BPS spectrum. In fact, the matching seems to work as well as for the familiar T4 case, and thus our results give strong support for this proposal.