N = ( 0 , 4 ) Quiver SCFT 2 and Supergravity on AdS 3 × S 2 Yuji

We study the proposed duality between the 5-dimensional supergravity/superstiring on AdS3×S and the 2-dimensional N = (0, 4) SCFT defined on the boundary of AdSspace. We construct explicitely the N = (0, 4) SCFT by imposing the “quiver projection” developed by Douglas-Moore [12] on the N = (4, 4) SCFT of symmetric orbifold, which is proposed to be the dual of the 6-dimensional supergravity/superstiring on AdS3 × S3. We explore in detail the spectrum of chiral primaries in this “quiver SCFT2”. We compare it with the Kaluza-Klein spectrum on AdS3 × S2 and check the consistency between them. We further emphasize that orbifolding of bulk theory should not correspond to orbifolding of the boundary CFT in the usual sense of two dimensional CFT, rather corresponds to the quiver projection. We observe that these are not actually equivalent with each other when we focus on the multi-particle states.