Superstring in the Presence of the Worldsheet Gauge Field

TL;DR

This paper explores a superstring theory incorporating an Abelian worldsheet gauge field, analyzing its symmetries, T-duality, and quantization of emergent fictitious coordinates.

Contribution

It introduces and studies the effects of fictitious coordinates arising from a worldsheet gauge field in superstring theory, including symmetry analysis and duality properties.

Findings

Identification of fictitious coordinates as space and time variables

Analysis of worldsheet supersymmetry and Poincaré symmetry

Demonstration of T-duality and quantization of fictitious coordinates

Abstract

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 as "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 also will be obtained.