Index for three dimensional superconformal field theories with general R-charge assignments

Abstract

We derive a general formula of an index for three dimensional N=2 superconformal field theories with general R-charge assignments to chiral multiplets by using the localization method in S^2xS^1 background. As examples we compute the index for theories in a few mirror pairs, and confirm the agreement of the indices in each mirror pair.

22 pages, no figure; v2: refs added, the definition of the index changed; v3: chemical potentials for monopole charges introduced, Sec. 5 improved, a reference added

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