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arXiv · 1607.08557

M5-branes, orientifolds, and S-duality

Yoonseok Hwang·Joonho Kim·Seok Kim
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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 $S^5$.

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Yoonseok Hwang, Joonho Kim, Seok Kim. 2016-08-10. M5-branes, orientifolds, and S-duality. https://doi.org/10.1007/jhep12(2016)148

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