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arxiv: 1309.0278 · v2 · pith:CPMSTDM3new · submitted 2013-09-02 · ✦ hep-th · math-ph· math.MP

On the N=2 superconformal index and eigenfunctions of the elliptic RS model

classification ✦ hep-th math-phmath.MP
keywords indexsuperconformaleigenfunctionsellipticindicesmodelsequencetheories
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We define an infinite sequence of superconformal indices, I_n, generalizing the Schur index for N=2 theories. For theories of class S we then suggest a recursive technique to completely determine I_n. 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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  1. On non-relativistic integrable models and 4d SCFTs

    hep-th 2026-04 unverdicted novelty 6.0

    Generalized Schur indices of N=2 class S theories are expressed using eigenfunctions of non-relativistic elliptic Calogero-Moser models, with extensions claimed for N=1 SCFTs via limits of models like Inozemtsev.