Light-Cone Formulation of D2-Brane

TL;DR

This paper develops a light-cone Hamiltonian approach for D2-branes, deriving a gauge-invariant Lagrangian resembling 3D Yang-Mills theory with matter, and demonstrates its duality with the 11-dimensional membrane.

Contribution

It introduces a novel light-cone formulation for D2-branes and establishes a duality with the 11d membrane, connecting gauge theory and string/M-theory.

Findings

Derived gauge-invariant Lagrangian for D2-brane

Identified duality with 11d membrane

Linked D2-brane dynamics to 3D Yang-Mills with matter

Abstract

We apply the light-cone hamiltonian approach to D2-brane, and derive the equivalent gauge-invariant Lagrangian. The later appears to be that of three-dimensional Yang-Mills theory, interacting with matter fields, in the special external induced metric, depending on matter fields. The duality between this theory and 11d membrane is shown.