2013/06/30 by Paul Jennings, Thomas Winyard
Computer Science · Engineering · Physics and Astronomy · #Acoustics #Advanced Materials and Mechanics #Cellular Automata and Applications #Classical mechanics #Computer graphics (images) #Computer science #Condensed matter physics #Dynamics (music) #Physics #Planar #Skyrmion #Statics #hep-th
paper · pdf · doi:10.1007/jhep01(2014)122
20 pages, 10 figures
arxiv created 2013/07/22 · openalex publication_date 2014/01/01 · arxiv updated 2015/06/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The broken planar Skyrme model is a theory that breaks global O (3) symmetry to the dihedral group D N . It has been shown that the single soliton solution is formed of N constituent parts, named partons, that are topologically confined. The multisoliton solutions have already been computed for N = 3 and were shown to be related to polyiamonds. We extend this for larger N and demonstrate that this polyform structure continues (planar figures formed by regular N -gons joined along their edges, of which polyiamonds are the N = 3 subset). Furthermore, we numerically simulate the dynamics of this model for the first time. It will be demonstrated that the time dependent behaviour of these solutions can be broken down into the interactions of its constituent partons, with certain collisions exhibiting parton exchange. The results are then compared with those of the standard planar Skyrme model.