Exhausting all exact solutions of BPS domain wall networks in arbitrary dimensions

Minoru Eto, Masaki Kawaguchi, Muneto Nitta, Ryotaro Sasaki

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)


We obtain full moduli parameters for generic nonplanar Bogomol'nyi-Prasad-Sommerfield networks of domain walls in an extended Abelian-Higgs model with N complex scalar fields and exhaust all exact solutions in the corresponding CPN-1 model. We develop a convenient description by grid diagrams which are polytopes determined by mass parameters of the model. To illustrate the validity of our method, we work out nonplanar domain wall networks for lower N in 3+1 dimensions. In general, the networks can have compact vacuum bubbles, which are finite vacuum regions surrounded by domain walls, when the polytopes of the grid diagrams have inner vertices, and the size of bubbles can be controlled by moduli parameters. We also construct domain wall networks with bubbles in the shapes of the Platonic, Archimedean, Catalan, and Kepler-Poinsot solids.

Original languageEnglish
Article number105020
JournalPhysical Review D
Issue number10
Publication statusPublished - 2020 May 15

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)


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