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Superconformal index for large N quiver Chern-Simons theories

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arxiv 1102.0621 v3 pith:UATRV6VG submitted 2011-02-03 hep-th

Superconformal index for large N quiver Chern-Simons theories

classification hep-th
keywords theoriesindexlargechern-simonsdualquiversuperconformalarguments
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We investigate the N=2 superconformal index for supersymmetric quiver Chern-Simons theories with large N gauge groups. After general arguments about the large N limit, we compute the first few terms in the series expansion of the index for theories proposed as dual theories to homogeneous spaces V^{5,2}, Q^{1,1,1}, Q^{2,2,2}, M^{1,1,1}, and N^{0,1,0}. We confirm that the indices have symmetries expected from the isometries of dual manifolds.

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    Derives Z_{S^1×S^2} ∼ |Z_{S^3_b}|^2 for 3d N=2 SCFTs and links it holographically to supersymmetric AdS4 black hole partition functions, akin to OSV.