# Analytic Studies of Static and Transport Properties of (Gauged) Skyrmions

## TL;DR

This paper analytically investigates the static and transport properties of Skyrmions in finite volumes, deriving a formula for their compression modulus and analyzing their influence on electron conductivity, with implications for baryonic matter.

## Contribution

It provides explicit analytic expressions for the compression modulus of finite-volume Skyrmions and explores their impact on electron conductivity, including gauged versions.

## Key findings

- Derived an explicit formula for the compression modulus of finite-volume Skyrmions.
- Estimated the order of magnitude of conductivity contributions from Skyrmions.
- Compared theoretical conductivity contributions with experimental baryonic layer data.

## Abstract

We study static and transport properties of Skyrmions living within a finite spatial volume in a flat (3+1)-dimensional spacetime. In particular, we derive an explicit analytic expression for the compression modulus corresponding to these Skyrmions living within a finite box and we show that such expression can produce a reasonable value. The gauged version of these solitons can be also considered. It is possible to analyze the order of magnitude of the contributions to the electrons conductivity associated to the interactions with this Baryonic environment. The typical order of magnitude for these contributions\ to conductivity can be compared with the experimental values of the conductivity of layers of Baryons.