Light-Cone Formulation of Super D2-Brane
R. Manvelyan, A. Melikyan, R.Mkrtchyan, H.J.W. Mueller--Kirsten
TL;DR
This paper develops a light-cone Hamiltonian formulation for the super D2-brane, deriving an effective U(1) gauge theory and demonstrating its duality with 11-dimensional supermembrane theory.
Contribution
It introduces a quadratic, gauge-invariant Lagrangian for the super D2-brane in the light-cone gauge, linking it to three-dimensional U(1) gauge theory with matter.
Findings
Derived an effective Lagrangian quadratic in the gauge field.
Established duality with 11d supermembrane theory.
Connected super D2-brane dynamics to U(1) gauge theory in supergravity background.
Abstract
The light-cone Hamiltonian approach is applied to the super D2-brane, and the equivalent area--preserving and U(1) gauge-invariant effective Lagrangian, which is quadratic in the U(1) gauge field, is derived. The latter is recognised to be that of the three-dimensional U(1) gauge theory, interacting with matter supermultiplets, in a special external induced supergravity metric and the gravitino field, depending on matter fields. The duality between this theory and 11d supermembrane theory is demonstrated in the light-cone gauge.
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