Properties of Non-topological Solitons in Two-dimensional Model With Resurrected Conformal Symmetry

TL;DR

This paper investigates non-topological solitons in 2D conformal field theory, revealing that restoring conformal symmetry eliminates decay and vibrational modes, highlighting the symmetry's role in soliton stability.

Contribution

It demonstrates that conformal symmetry restoration in 2D models removes decay and vibrational modes of non-topological solitons, providing new insights into their stability.

Findings

Linear perturbations are trivial, with only zero modes.

Restoring conformal symmetry eliminates decay and vibrational modes.

Symmetry considerations explain soliton stability features.

Abstract

We study properties of non-topological solitons in two-dimensional conformal field theory. The spectrum of linear perturbations on these solutions is found to be trivial, containing only symmetry-related zero modes. The interpretation of this feature is given by considering the relativistic generalization of our theory in which the conformal symmetry is violated. It is explicitly seen that the restoration of this symmetry leads to the absence of decay/vibrational modes.