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Main Authors: Colaço, E. L., Klimas, P., Livramento, L. R., Sawado, N., Yanai, S.
Format: Preprint
Published: 2026
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Online Access:https://arxiv.org/abs/2602.15276
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author Colaço, E. L.
Klimas, P.
Livramento, L. R.
Sawado, N.
Yanai, S.
author_facet Colaço, E. L.
Klimas, P.
Livramento, L. R.
Sawado, N.
Yanai, S.
contents While $CP^N$ models with analytic potentials are known to support finite-energy compact Q-ball and Q-shell solutions, their behavior in more complex Lagrangian frameworks remains a subject of active research. This work explores these non-topological structures within an extended Skyrme-Faddeev-type model that incorporates quartic derivative terms. In this context, harmonic time dependence and the presence of quartic terms constitute two independent stabilization mechanisms that allow the configurations to circumvent Derrick's scaling argument. We investigate the necessary conditions for the existence of these solutions and analyze the influence of quartic terms on the properties of the resulting compactons, specifically examining the $E(Q)$ relationship between energy and Noether charge. Our findings provide valuable insights into the stability and characteristics of compact boson stars within $CP^N$ models featuring higher-order derivative terms.
format Preprint
id arxiv_https___arxiv_org_abs_2602_15276
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Compact Q-balls and Q-shells within a $CP^N$ Skyrme-Faddeev type model
Colaço, E. L.
Klimas, P.
Livramento, L. R.
Sawado, N.
Yanai, S.
High Energy Physics - Theory
Mathematical Physics
While $CP^N$ models with analytic potentials are known to support finite-energy compact Q-ball and Q-shell solutions, their behavior in more complex Lagrangian frameworks remains a subject of active research. This work explores these non-topological structures within an extended Skyrme-Faddeev-type model that incorporates quartic derivative terms. In this context, harmonic time dependence and the presence of quartic terms constitute two independent stabilization mechanisms that allow the configurations to circumvent Derrick's scaling argument. We investigate the necessary conditions for the existence of these solutions and analyze the influence of quartic terms on the properties of the resulting compactons, specifically examining the $E(Q)$ relationship between energy and Noether charge. Our findings provide valuable insights into the stability and characteristics of compact boson stars within $CP^N$ models featuring higher-order derivative terms.
title Compact Q-balls and Q-shells within a $CP^N$ Skyrme-Faddeev type model
topic High Energy Physics - Theory
Mathematical Physics
url https://arxiv.org/abs/2602.15276