Supersymmetric Form of the String Action in the Presence of the Gauge Field

TL;DR

This paper explores a superstring theory with an Abelian gauge field on the worldsheet, introducing fictitious coordinates, analyzing supersymmetry and Poincaré symmetry, and studying T-duality and quantization of these coordinates.

Contribution

It introduces fictitious coordinates in superstring theory with gauge fields and analyzes their symmetries, T-duality, and quantization, providing new insights into gauge field effects in string models.

Findings

Fictitious coordinates behave as space and time variables.

Worldsheet supersymmetry and Poincaré symmetry are preserved.

T-duality and quantization of fictitious coordinates are established.

Abstract

In this manuscript we study the superstring theory with an Abelian worldsheet gauge field. The components of the gauge field appear as a space and a time coordinates. We call them "fictitious coordinates". The worldsheet supersymmetry and the Poincar\'e symmetry of this model will be analyzed. The $T$-duality and quantization of the two fictitious coordinates are also obtained.