A Non-Abelian Analogue of DBI from $T \overline{T}$

TL;DR

This paper constructs a non-abelian version of the Dirac-Born-Infeld action using the $T ar{T}$ deformation in two dimensions, compatible with maximal supersymmetry, expanding the understanding of brane dynamics.

Contribution

It introduces a novel non-abelian DBI analogue derived from $T ar{T}$ deformation, a significant step in non-linear supersymmetric theories.

Findings

Compatible with maximal supersymmetry

Provides a non-abelian extension of DBI

Advances understanding of brane-related quantum theories

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.