Light-cone formulation of super D2-brane

The light-cone Hamiltonian approach is applied to the super D2-brane, and t he equivalent area-preserving and U(1) gauge-invariant effective Lagrangian , which is quadratic in the U(1) gauge field, is derived. The latter is rec ognised to be that of the three-dimensional U(1) gauge theory, interacting with matter supermultiplets, in a special external induced supergravity met ric and the gravitino field, depending on matter fields. The duality betwee n this theory and 11d supermembrane theory is demonstrated in the light-con e gauge. (C) 1998 Published by Elsevier Science B.V. All rights reserved.