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We analyze BPS equations for string-like configurations derived from theM5-brane worldvolume action with a Nambu-Poisson structure constructed inarXiv:0804.3629, arXiv:0805.2898. We solve the BPS equations up to the firstorder in the parameter $g$ which characterizes the strength of theNambu-Poisson bracket. We compare our solutions to previously constructed BPSstring solitons in the conventional description of M5-brane in a constantthree-form background via Seiberg-Witten map, and find agreement.

String solitons in the M5-brane worldvolume with a Nambu-Poisson structure and Seiberg-Witten map