The monopole problem in holographic cosmology

TL;DR

This paper demonstrates that the monopole problem in holographic cosmology can be universally addressed through the irrelevance of electric current operators in the dual field theory, extending solutions beyond specific models.

Contribution

It establishes a general mechanism for solving the monopole problem in bosonic holographic cosmology applicable to a broad class of models.

Findings

Electric current is an irrelevant operator in the dual field theory.

Any bosonic super-renormalizable, generalized conformal symmetric model solves the monopole problem.

The solution is analogous to the dilution mechanism in inflation.

Abstract

In this letter we clarify that the monopole problem can always be solved in bosonic holographic cosmology, by the analogue of "dilution" in inflation, which is the fact that the {\em electric} current is an irrelevant operator in the dual field theory. We show that not only specific toy models solve the problem, but any purely bosonic member of the phenomenological class, of super-renormalizable, generalized conformal symmetric models.