General instanton counting and 5d SCFT

Understand

Instanton partition functions of 5d N=1 gauge theories are Witten indices for the ADHM gauged quantum mechanics with (0,4) SUSY.

• We derive the integral contour prescriptions for these indices using the Jeffrey-Kirwan method, for gauge theories with hypermultiplets in various representations.
• The results can be used to study various 4d/5d/6d QFTs.
• In this paper, we study 5d SCFTs which are at the UV fixed points of 5d SYM theories.