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arxiv: 1104.3850 · v1 · submitted 2011-04-19 · ✦ hep-th

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The 4d Superconformal Index from q-deformed 2d Yang-Mills

Abhijit Gadde , Leonardo Rastelli , Shlomo S. Razamat , WenBin Yan
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classification ✦ hep-th
keywords indexq-deformedsuperconformalyang-millsableevaluateexplicitgaiotto
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We identify the 2d topological theory underlying the N=2 4d superconformal index with an explicit model: q-deformed 2d Yang-Mills. By this route we are able to evaluate the index of some strongly-coupled 4d SCFTs, such as Gaiotto's T_N theories.

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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.