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arxiv: 1208.5056 · v1 · submitted 2012-08-24 · ✦ hep-th

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On a modular property of N=2 superconformal theories in four dimensions

Shlomo S. Razamat
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classification ✦ hep-th
keywords dimensionsfourindexmodularpropertiessuperconformaltheoriesdiscuss
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In this note we discuss several properties of the Schur index of N=2 superconformal theories in four dimensions. In particular, we study modular properties of this index under SL(2,Z) transformations of its parameters.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Generalised 4d Partition Functions and Modular Differential Equations

    hep-th 2025-12 unverdicted novelty 7.0

    Generalized Schur partition functions Z_USp(2N)(q; alpha) for 4d N=2 USp(2N) theories satisfy order-(N+1) MLDEs with vanishing Wronskian index, alpha fixing MLDE parameters, with links to RCFT characters and a conject...

  2. 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.