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We consider the non-abelian theory (http://arxiv.org/abs/arXiv:1203.4224) for an arbitrary number $N_5$ of five-branes and construct self-dual string solution with an arbitrary $N_2$ unit of self-dual charges.
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C. S. Chu and D. J. Smith, “Multiple Self-Dual Strings on M5-Branes,” JHEP 1001
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D. Bak and A. Gustavsson, “M5/D4 brane partition function on a circle bundle,” JHEP 1212
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2011
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Y. Tachikawa, “On S-duality of 5d super Yang-Mills on S 1 S^{1} ,” JHEP 1111
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2013
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