Supersymmetric AdS3 supergravity backgrounds and holography

Abstract

We analyse the conditions for AdS3 × ℳ7 backgrounds with pure NS-NS flux to be supersymmetric. We classify all N=(2,2) solutions where ℳ7 satisfies the stronger condition of being a U(1)-fibration over a Kähler manifold. We compute the BPS spectrum of all the backgrounds in this classification. We assign a natural dual CFT to the backgrounds and confirm that the BPS spectra agree, thus providing evidence in favour of the proposal.