English

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

High Energy Physics - Theory 2015-06-17 v2 Mathematical Physics math.MP

Abstract

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.

Keywords

Cite

@article{arxiv.1309.0278,
  title  = {On the N=2 superconformal index and eigenfunctions of the elliptic RS model},
  author = {Shlomo S. Razamat},
  journal= {arXiv preprint arXiv:1309.0278},
  year   = {2015}
}

Comments

21 pages, harvmac. v2: added references