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Recently, the most general theory of electromagnetism invariant under dualityand conformal invariance was written, and dubbed ModMax. It arises from ageneralization of Born-Infeld (BI) theory by taking the infinite tension limit,$T\rightarrow\infty$. In this note we show that this generalization can beobtained from a brane-like construction, just like BI, and can thus be coupledto scalars in the same way to obtain a DBI-like action. All the BIon andcatenoid solutions, and their interpolations, are still solutions of thegeneralized DBI-like action, suggesting that an interpretation within stringtheory could be possible. We also show that Ra\~nada's knotted solutions (withnonzero helicities) are still valid, both in the ModMax theory, and in itsprecursor.

Coupling ModMax theory precursor with scalars, and BIon-type solutions