Proposal for understanding D=6 N=(1,0) SCFTs as higher gauge theories for gauge-L-infinity algebras which are variants of the string Lie 2-algebra:
Christian Saemann, Lennart Schmidt, The Non-Abelian Self-Dual String and the -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, doi:10.1063/1.5026545]
Christian Saemann, Lennart Schmidt, Towards an M5-Brane Model II: Metric String Structures, Fortschr. Phys. 68 (2020) 2000051 [arXiv:1908.08086, doi:10.1002/prop.202000051]
Discussion of adjusted Weil algebras for string Lie 2-algebra and the corresponding higher gauge theory:
Lennart Schmidt, Twisted Weil Algebras for the String Lie 2-Algebra, in Christian Saemann, Urs Schreiber, Martin Wolf (eds.) Higher Structures in M-Theory Durham Symposium 2018, Fortschritte der Physik 2019 [arXiv:1903.02873, doi:10.1002/prop.201910016]
Christian Saemann, Lennart Schmidt, Towards an M5-Brane Model II: Metric String Structures, Fortschr. Phys. 68 (2020) 2000051 [arXiv:1908.08086, doi:10.1002/prop.202000051]
On regularized quantization of Green-Schwarz sigma-models for super p-branes, specifically of the super 4-brane in 9d, in generalization of the matrix model of the M2-brane:
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