Covariant Quantization of The Super-D-string

TL;DR

This paper develops a covariant BRST quantization method for the super-D-string, emphasizing the role of the supersymmetric U(1) field strength and a parameter that interpolates between super-D-string and Green-Schwarz superstring formulations.

Contribution

It introduces a covariant quantization approach for the super-D-string incorporating the U(1) field strength and identifies a parameter that unifies super-D-string and Green-Schwarz superstring descriptions.

Findings

The U(1) field strength is essential for covariant quantization.

A parameter interpolates between super-D-string and Green-Schwarz superstring.

The role of the conjugate variable E^1 as an order parameter is proposed.

Abstract

We present the covariant BRST quantization of the super-D-string. The non-vanishing supersymmetric U(1) field strength ${\cal F}$ 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 ${\cal F}\ne 0$ and the Green-Schwarz superstring with ${\cal F}= 0$. 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 $E^1 =0$.