Counting Exceptional Instantons
Christoph A. Keller, Jaewon Song
TL;DR
This paper computes the instanton partition function for N=2 SYM with exceptional gauge groups using blow-up recursion, matching recent superconformal index proposals for rank 2 SCFTs with E6 and E7 symmetries.
Contribution
It introduces a method to derive the instanton partition function for exceptional gauge groups using blow-up recursion relations.
Findings
Computed the two-instanton contribution for E6 and E7 gauge groups.
Matched the results with recent superconformal index proposals.
Validated the use of blow-up recursion for exceptional groups.
Abstract
We show how to obtain the instanton partition function of N=2 SYM with exceptional gauge group EFG using blow-up recursion relations derived by Nakajima and Yoshioka. We compute the two instanton contribution and match it with the recent proposal for the superconformal index of rank 2 SCFTs with E6, E7 global symmetry.
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