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

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.

5 pages, 3 figures

References in corpus (5)

• Relativistic axions from collapsing Bose stars
• Solitons with Cubic and Quintic Nonlinearities Modulated in Space and Time
• Q-balls, Integrability and Duality
• Schrödinger symmetry: a historical review
• The fate of conformal symmetry in the non-linear Schrödinger theory

Cited by in corpus (3)

• CFT-approach to Rotating Field Lumps in Attractive Potential
• Towards spinning $U(1)$ gauged non-topological solitons in the model with Chern-Simons term
• Localized structures in two-field systems: exact solutions in the presence of Lorentz symmetry breaking and explicit connection with geometric constraints