Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1999-03-15
JHEP 9906:035,1999
Physics
High Energy Physics
High Energy Physics - Theory
31 pages, section 3 and 4 are improved, some errata are corrected, the final version to be published in JHEP
Scientific paper
10.1088/1126-6708/1999/06/035
We study the proposed duality between the 5-dimensional supergravity/superstring on $AdS_3\times S^2$ and the 2-dimensional N=(0,4) SCFT defined on the boundary of AdS-space. We construct explicitly the N=(0,4) SCFT by imposing the `quiver projection' developed by Douglas-Moore on the N=(4,4) SCFT of symmetric orbifold, which is proposed to be the dual of the 6-dimensional supergravity/superstring on $AdS_3\times S^3$. We explore in detail the spectrum of chiral primaries in this `quiver $SCFT_2$'. We compare it with the Kaluza-Klein spectrum on $AdS_3\times S^2$ and check the consistency between them. We further emphasize that orbifolding of bulk theory should {\em 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.
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