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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Hwang, Y., Kim, J. & Kim, S. M5-branes, orientifolds, and S-duality. J. High Energ. Phys. 2016, 148 (2016). https://doi.org/10.1007/JHEP12(2016)148
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DOI: https://doi.org/10.1007/JHEP12(2016)148