Abstract
We construct an action for non-abelian 2-form in 6-dimensions. Our action consists of a non-abelian generalization of the abelian action of Perry and Schwarz for a single five-brane. It admits a self-duality equation on the field strength as the equation of motion. It has a modified 6d Lorentz symmetry. On dimensional reduction on a circle, our action gives the standard 5d Yang-Mills action plus higher order corrections. Based on these properties, we propose that our theory describes the gauge sector of multiple M5-branes in flat space.
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ArXiv ePrint: 1203.4224
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Chu, CS., Ko, SL. Non-abelian action for multiple five-branes with self-dual tensors. J. High Energ. Phys. 2012, 28 (2012). https://doi.org/10.1007/JHEP05(2012)028
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DOI: https://doi.org/10.1007/JHEP05(2012)028