Twistor--like Formulation of D=10, type IIA, Superstrings ${}^{\ast }$

Abstract

The twistor--like formulation of the type IIA superstring $\sigma$--model in D=10 is obtained by performing a dimensional reduction of the recently proposed twistor--like action of the supermembrane in D=11. The superstring action is invariant under local, worldsheet $(n,n)$ supersymmetry where $3\le n\le 8$ and is classical equivalent to the standard Green--Schwarz action (at least for $n=8)$

22 pages,tex, DFPD/94/TH/05