Fermionic String from Abelian Higgs Model with monopoles and $\Theta$-term

TL;DR

This paper demonstrates that in a specific Abelian Higgs model with monopoles and a theta-term, the long-distance behavior can be described by a sum over fermionic string world-sheets with particular boundary conditions, revealing a fermionic string structure.

Contribution

It establishes a novel equivalence between a four-dimensional Abelian Higgs model with monopoles and theta-term and a sum over fermionic string world-sheets at large distances.

Findings

For ta=2a0a7, the theory reduces to a sum over fermionic string world-sheets.

The model exhibits fermionic string behavior in the large-distance limit.

Boundary conditions on strings are of Dirichlet type.

Abstract

The four dimensional Abelian Higgs model with monopoles and $\Theta$-term is considered in the limit of the large mass of the higgs boson. We show that for $\Theta=2 \pi$ the theory is equivalent, at large distances, to summation over all possible world-sheets of fermionic strings with Dirichlet type boundary conditions on string coordinates.