A non-abelian analogue of DBI from $T \overline{T}$
T. Daniel Brennan, Christian Ferko, Savdeep Sethi
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\bar{T} <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:mrow> <mml:mi>T</mml:mi> <mml:mover> <mml:mi>T</mml:mi> <mml:mo accent="true">‾</mml:mo> </mml:mover> </mml:mrow> </mml:math> deformation in two dimensions. The resulting quantum theory is compatible with maximal supersymmetry and such theories are quite rare.
Topics & Concepts
Action (physics)PhysicsString theoryTheoretical physicsString (physics)Dirac (video compression format)SupersymmetryQuantum field theoryQuantumQuantum mechanicsDeformation (meteorology)Mathematical physicsM-theoryTerm (time)Quantization (signal processing)Algebra over a fieldEffective actionRelationship between string theory and quantum field theoryField theory (psychology)String field theoryQuantum gravityBlack Holes and Theoretical PhysicsNoncommutative and Quantum Gravity TheoriesAlgebraic structures and combinatorial models