## A non-abelian analogue of DBI from $T \overline{T}$

T. Daniel Brennan, Christian Ferko, Savdeep Sethi

SciPost Phys. 8, 052 (2020) · published 7 April 2020

### Abstract

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.

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