Hamilton-Jacobi Formulation of Green-Schwarz Superstring

Abstract

The canonical formalism for fermion string ‘superstring’ theory is constructed by following the Hamilton-Jacobi prescription. The Hamiltonian mechanics of the Green-Schwarz superstring are discussed. The complete set of constraints is presented, implies appearance of mixed first and second class fermionic constraints, which are treated with no need to introduce gauge fixing terms. The equations of motion are derived as total differential equations in many variables. Besides, a mechanical model of D=11 superstring is presented.