The (Formula Presented.) Schur index from free fermions

TY - JOUR

T1 - The (Formula Presented.) Schur index from free fermions

AU - Bourdier, Jun

AU - Drukker, Nadav

AU - Felix, Jan

PY - 2016/1/27

Y1 - 2016/1/27

N2 - We study the Schur index of 4-dimensional 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 (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.

AB - We study the Schur index of 4-dimensional 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 (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.

KW - Matrix Models

KW - Supersymmetric gauge theory

UR - https://www.scopus.com/pages/publications/85000416287

U2 - 10.1007/JHEP01(2016)167

DO - 10.1007/JHEP01(2016)167

M3 - Article

AN - SCOPUS:85000416287

SN - 1126-6708

VL - 2016

SP - 1

EP - 33

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 1

M1 - 167

ER -