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Geometric construction of non-linear Sigma models with Q-ball/Q-kink solutions

Author

Listed:
  • Alonso-Izquierdo, A.
  • Canillas Martínez, D.
  • Garzón Sánchez, C.
  • González León, M.A.

Abstract

Non-linear Sigma models involving U(1) symmetry group are studied using a geometrical formalism. In this type of models, Q-balls and Q-Kinks solutions are found. The geometrical framework described in this article allows the identification of the necessary conditions on the metric and the potential to guarantee the existence of these Q-balls and Q-Kinks. Using this procedure, Sigma models where both types of solutions coexist, have been identified. Only the internal rotational frequency distinguishes which one of these defects will arise.

Suggested Citation

  • Alonso-Izquierdo, A. & Canillas Martínez, D. & Garzón Sánchez, C. & González León, M.A., 2024. "Geometric construction of non-linear Sigma models with Q-ball/Q-kink solutions," Chaos, Solitons & Fractals, Elsevier, vol. 181(C).
    • Handle: RePEc:eee:chsofr:v:181:y:2024:i:c:s0960077924002844
    DOI: 10.1016/j.chaos.2024.114732
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