Topological Approach to Alice Electrodynamics

TL;DR

This paper explores the topological properties of Alice strings and their associated magnetic charges, providing a detailed analysis of charge transfer mechanisms using global topological methods and semiclassical theory.

Contribution

It introduces a topological framework for understanding magnetic charge transfer in Alice electrodynamics, including a precise definition of magnetic charge on string loops.

Findings

Magnetic charge on string loops is rigorously defined.

Charge transfer from monopoles to strings is characterized topologically.

A semiclassical model of electric charge transfer is developed.

Abstract

We analyze the unlocalized ``Cheshire charge'' carried by ``Alice strings.'' The magnetic charge on a string loop is carefully defined, and the transfer of magnetic charge from a monopole to a string loop is analyzed using global topological methods. A semiclassical theory of electric charge transfer is also described.