King's College London

Research portal

The (Formula Presented.) Schur index from free fermions

Research output: Contribution to journalArticlepeer-review

Original languageEnglish
Article number167
Pages (from-to)1-33
Number of pages33
JournalJournal of High Energy Physics
Volume2016
Issue number1
DOIs
Accepted/In press14 Jan 2016
Published27 Jan 2016

Documents

King's Authors

Abstract

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.

Download statistics

No data available

View graph of relations

© 2020 King's College London | Strand | London WC2R 2LS | England | United Kingdom | Tel +44 (0)20 7836 5454