M5-branes, orientifolds, and S-duality

Understand

We study the instanton partition functions of 5d maximal super Yang-Mills theories with all classical gauge groups.

• They are computed from the ADHM quantum mechanics of the D0-D4-O4 systems.
• Our partition functions respect S-dualities of the circle compactified Yang-Mills theories and various orientifold backgrounds.
• We also compute and study the $S^5$ partition functions that correspond to the 6d (2,0) superconformal indices.