Work

SO(4) gauged O(5) Skyrmion on R 4

Year: 2025

Type: article

Abstract: We have studied an S O ( 4 ) gauged O ( 5 ) Skyrmion on I R 4 , which can be seen as a static soliton in 4 + 1 dimensions. This is a sequel of the known S O ( D ) gauged O ( D + 1 ) Skyrmions on I R D in D = 2 and in D = 3 , which are likewise localized to an absolute scale and topologically stable, their energies being bounded below by the winding number. In the absence of an analytic proof of existence, some such solutions are constructed numerically. Two families of solutions are found, of which only one possesses a gauge decoupling limit. The curvatures of both of these solutions decay as r − 3 , a property they share with the Yang-Mills instantons on I R 4 .

Source: Physical review. D/Physical review. D.

DOI: 10.1103/pg5m-7cl3

Authors: Francisco Navarro-Lérida, D. H. Tchrakian

Institutions: Universidad Complutense de Madrid, Dublin Institute For Advanced Studies, National University of Ireland, Maynooth

Language: English

Topic: Black Holes and Theoretical Physics

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Funder: Ministerio de Ciencia e Innovación

Award: G6972607437