  The Dirac action describes the physics of the Nambu-Goldstone scalars found
on branes. The Born-Infeld action defines a non-linear theory of
electrodynamics. The combined Dirac-Born-Infeld (DBI) action describes the
leading interactions supported on a single D-brane in string theory. We define
a non-abelian analogue of DBI using the $T \overline{T}$ deformation in two
dimensions. The resulting quantum theory is compatible with maximal
supersymmetry and such theories are quite rare.
