Towards an M5-brane model. Part III. Self-duality from additional trivial fields

A bstract We present a six-dimensional $$ \mathcal{N} N = (1 , 0) supersymmetric higher gauge theory in which self-duality is consistently implemented by physically trivial additional fields. The action contains both tensor and vector multiplets non-trivially interacting. multiplet part loosely related to recently proposed Sen that leads on-shell an elegant way. As we also show, Sen’s finds very natural direct interpretation from homotopy algebraic perspective.