Calculating Extra (Quasi)Moduli on the Abrikosov-Nielsen-Olesen string with Spin-Orbit Interaction

TL;DR

This paper numerically computes the low-energy effective theory of an Abrikosov-Nielsen-Olesen string with spin-orbit interaction, revealing how bulk deformations induce entangled moduli on the string's world sheet.

Contribution

It introduces a numerical method to analyze how spin-orbit interactions deform the moduli space of the string, providing new insights into string dynamics with bulk deformations.

Findings

Calculated the low-energy Lagrangian for the string with spin-orbit effects

Identified entangled terms induced by bulk deformation on the world sheet

Demonstrated the impact of spin-orbit interaction on string moduli

Abstract

Using a representative set of parameters we numerically calculate the low-energy Lagrangian on the world sheet of the Abrikosov-Nielsen-Olesen string in a model in which it acquires rotational (quasi)moduli. The bulk model is deformed by a spin-orbit interaction generating a number of "entangled" terms on the string world sheet.