Abstract
We construct d ≤ 7 dimensional maximally supersymmetric Yang-Mills theories on a class of curved backgrounds with off-shell supercharges. The off-shell supersymmetry is mainly a generalization of on-shell supersymmetry previously constructed by Blau. We present several examples of backgrounds and discuss the number of the preserved supersymmetries on these backgrounds. We also construct another maximally supersymmetric Yang-Mills theories on S 3 obtained by dimensional reduction along \( \mathbb{R} \) -direction of \( \mathcal{N} \) =4 superYang-Millstheoryon \( \mathbb{R} \) × S 3.
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ArXiv ePrint: 1209.4320
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Fujitsuka, M., Honda, M. & Yoshida, Y. Maximal super Yang-Mills theories on curved background with off-shell supercharges. J. High Energ. Phys. 2013, 162 (2013). https://doi.org/10.1007/JHEP01(2013)162
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DOI: https://doi.org/10.1007/JHEP01(2013)162