Fermionic Strings in the Operator Formalism

We extend the operator formulation of strings to the superconformal setting. We give a realization of the supersymmetry ghosts, both in components and in a manifestly supersymmetric formalism. We give a construction for the states associated with super-Riemann surfaces of any genus with any number of punctures in the case of flat 10d spacetime, and from these states construct the measure. As an application we give a very simple, manifestly supersymmetric, derivation of super-holomorphic factorization. Finally, we discuss the “integration ambiguity” from the operator point of view.