Abstract
We study the Schur index of 4-dimensional \( \mathcal{N}=2 \) circular quiver theories. We show that the index can be expressed as a weighted sum over partition functions describing systems of free Fermions living on a circle. For circular SU (N) quivers of arbitrary length we evaluate the large N limit of the index, up to exponentially suppressed corrections. For the single node theory (\( \mathcal{N}=4 \) SYM) and the two node quiver we are able to go beyond the large N limit, and obtain the complete, all orders large N expansion of the index, as well as explicit finite N results in terms of elliptic functions.
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Bourdier, J., Drukker, N. & Felix, J. The \( \mathcal{N}=2 \) Schur index from free fermions. J. High Energ. Phys. 2016, 167 (2016). https://doi.org/10.1007/JHEP01(2016)167
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DOI: https://doi.org/10.1007/JHEP01(2016)167