M5-branes, orientifolds, and S-duality

Abstract

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. Our SO(2N) index takes the form of the vacuum character of ${\mathcal{W}}_D$ algebra in a special limit, supporting the $\mathcal{W}$ algebra conjecture. We propose new indices for (2,0) theories with outer automorphism twists along the temporal circle, obtained from non-simply-laced SYMs on $S^5$.

arXiv comment26 pages, no figure; v2: reference added, minor changes

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Cited by in corpus (9)

• On elliptic genera of 6d string theories
• Instantons from Blow-up
• Twisted Partition Functions and $H$-Saddles
• Twisted 6d $(2,0)$ SCFTs on a Circle
• ABCD of 't Hooft operators
• Asymptotic M5-brane entropy from S-duality
• D-Particles on Orientifolds and Rational Invariants
• Bootstrapping ADE M-strings
• A note on D0-branes and instantons in 5d supersymmetric gauge theories