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

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.

arXiv comment19 pages; LaTeX; references added, minor typos corrected

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• Interacting Chiral Form Field Theories and $T\overline{T}$-like Flows in Six and Higher Dimensions
• Non-relativistic duality and $T\bar{T}$ deformations
• Sequential Flows by Irrelevant Operators
• Stress Tensor Flows, Birefringence in Non-Linear Electrodynamics, and Supersymmetry
• Matrix Theory Reloaded: A BPS Road to Holography
• $T\overline{T}$ Deformations of Supersymmetric Quantum Mechanics
• $T\overline{T}$ deformation in SCFTs and integrable supersymmetric theories
• Maximally Supersymmetric RG Flows in 4D and Integrability
• Exact $T\bar{T}$-deformation of two-dimensional Yang-Mills theory on the sphere
• Quantization of the ModMax Oscillator
• ModMax Oscillators and Root-$T\overline{T}$-Like Flows in Supersymmetric Quantum Mechanics
• $T\overline{T}$-deformation of $q$-Yang-Mills theory
• $T\bar{T}$-deformed 2D Yang-Mills at large N: collective field theory and phase transitions
• Chiral Decoupling from Irrelevant Deformations
• The phase diagram of $T\bar{T}$-deformed Yang-Mills theory on the sphere
• Properties of multiple D0-brane system: 11D origin, equations of motion and their solutions
• Soliton, breather and shockwave solutions of the Heisenberg and the $T\bar{T}$ deformations of scalar field theories in 1+1 dimensions
• A $T\bar{T}$-like deformation of the Skyrme model and the Heisenberg model of nucleon-nucleon scattering
• On Current-Squared Flows and ModMax Theories