Abstract
We obtain the action for a curved superconformal abelian M5 brane with the background R-symmetry gauge field turned on. We then restrict ourselves to superconformal M5 brane on a sphere times flat Minkowski space. We choose R-symmetry SO(1, 4) instead of SO(5), which enables us to partially twist on Minkowski space and replace it by some curved Lorentzian manifold. We obtain M5 brane actions on M 1,1 × S 4 and M 1,2 × S 3 where actions and all fields, including the background gauge field, are real. Dimensional reduction along time gives real 5d SYM actions with nonabelian generalizations.
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ArXiv ePrint: 1508.04496
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Bak, D., Gustavsson, A. Partially twisted superconformal M5 brane in R-symmetry gauge field backgrounds. J. High Energ. Phys. 2015, 1–32 (2015). https://doi.org/10.1007/JHEP12(2015)093
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DOI: https://doi.org/10.1007/JHEP12(2015)093