Supersymmetry of Green-Schwarz superstring and matrix string theory - art.no. 046008

We study the dynamics of a Green-Schwarz superstring on the gravitational w ave background corresponding to the matrix string theory and the supersymme try transformation rules of the superstring. The dynamics is obtained in th e light-cone formulation and is shown to agree with that derived from matri x string theory. The supersymmetry structure has corrections due to the eff ect of the background and is identified with that of the low-energy one-loo p effective action of matrix string theory in a two superstring background in the weak string coupling limit.