RT Journal Article T1 On the topological charge of SO(2)gauged Skyrmions in 2 +1and 3 +1dimensions A1 Navarro Lerida, Francisco A1 Radu, Eugen A1 Tchrakian, D. H. AB The question of the dependence of the topological charge qof a gauged Skyrmion, on the gauge field, is studied quantitatively. Two examples, both gauged with SO(2)are studied and contrasted:i)The O(3) model in 2 +1dimensions, andii)The O(4)model in 3 +1dimensions. In casei), where the (usual) Chern–Simons (CS) term is present, the value of qchanges sign, going through zero. This evolution is tracked by a parameter characterising the solutions in the given theory. In caseii), in which dimensions no CS density is available, the evolution of qis not observed. PB Elsevier SN 0370-2693 YR 2019 FD 2019-02-13 LK https://hdl.handle.net/20.500.14352/88384 UL https://hdl.handle.net/20.500.14352/88384 LA eng NO DIAS NO Portuguese national funding agency for science, research and technology (FCT) within the Center for Research and Development in Mathematics and Applications (CIDMA) NO H2020-MSCA-RISE-2015 NO H2020-MSCA-RISE-2017 NO CIDMA project DS Docta Complutense RD 9 abr 2025