Abstract
We define an infinite sequence of superconformal indices, \({{\mathcal{I}}_n}\), generalizing the Schur index for \({{\mathcal{N}}=2}\) theories. For theories of class \({{\mathcal{S}}}\) we then suggest a recursive technique to completely determine \({{\mathcal{I}}_n}\). The information encoded in the sequence of indices is equivalent to the \({{\mathcal{N}}=2}\) superconformal index depending on a 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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Razamat, S.S. On the \({{\mathcal{N}}=2}\) Superconformal Index and Eigenfunctions of the Elliptic RS Model. Lett Math Phys 104, 673–690 (2014). https://doi.org/10.1007/s11005-014-0682-5
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DOI: https://doi.org/10.1007/s11005-014-0682-5