TWISTOR-LIKE TYPE-II SUPERSTRING AND BOSONIC STRING

The superfield formulation of type II Green-Schwarz superstring with n = (1, 0) worldsheet supersymmetry is constructed. It is shown that the inclusion of the second spinor coordinate in the target superspace leads to the description of the superstring in the absence of any field from the two-dimensional supergravity multiplet. The twistor-like action of Chern-Simons type for bosonic string is deduced from the superstring action. The reparametrization invariance of the bosonic string action takes place only in D = 3, 4, 6, 10 with bosonic superpartners of spinor coordinates playing the role of metric on the string worldsheet.