On the N=2 superconformal index and eigenfunctions of the elliptic RS model
Abstract
We define an infinite sequence of superconformal indices, In, generalizing the Schur index for N=2 theories. For theories of class S we then suggest a recursive technique to completely determine In. The information encoded in the sequence of indices is equivalent to the N=2 superconformal index depending on the maximal set of fugacities. Mathematically, the procedure suggested in this note provides a perturbative algorithm for computing a set of eigenfunctions of the elliptic Ruijsenaars-Schneider model.
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