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A class of Lagrangian densities for D=6 N=(1,0) SCFTs with non-abelian gauge group has been proposed in
reviewed in
Discussion of Killing spinors in the SSW 11-models:
An attempt to understand the SSW 11-models as higher gauge theories for gauge-L-infinity algebras which are variants of the string Lie 2-algebra is due to:
Christian Saemann, Lennart Schmidt, The Non-Abelian Self-Dual String and the $(2,0)$-Theory (arXiv:1705.02353)
Christian Saemann, Lennart Schmidt, Towards an M5-Brane Model I: A 6d Superconformal Field Theory, J. Math. Phys. 59 (2018) 043502 (arxiv:1712.06623)
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