The $\mathcal{N}=2$ Schur index from free fermions
| Autor: | Bourdier, Jun, Drukker, Nadav, Felix, Jan |
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| Rok vydání: | 2015 |
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| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/JHEP01(2016)167 |
| Popis: | 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. Comment: 36 pages, 1 figure; v2: Minor corrections, version published in JHEP; v3: Minor corrections |
| Databáze: | arXiv |
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