Covariant Quantization of The Super-D-string

Abstract

We present the covariant BRST quantization of the super-D-string. The non-vanishing supersymmetric U(1) field strength $\mathcal{F}$ is essential for the covariant quantization of the super-D-string as well as for its static picture. A SO(2) parameter parametrizes a family of local supersymmetric (kappa symmetric) systems including the super-D-string with $\mathcal{F}\ne 0$ and the Green-Schwarz superstring with $\mathcal{F}=0$. We suggest that $E^1$ (canonical conjugate of U(1) gauge field) plays a role of the order parameter in the Green-Schwarz formalism: the super-D-string exists for $E^1\ne 0$ while the fundamental Green-Schwarz superstring exists only for $E^1=0$.

19 pages, Latex; a paragraph added in section 5, to appear in Nucl.Phys.B, email [email protected], [email protected]