Non-Abelian Moduli on Domain Walls

Abstract

We study a simple model supporting domain walls which possess two orientational moduli in addition to the conventional translational modulus. This model is conceptually close to Witten's cosmic strings. We observe an $O(3)$ sigma model on the wall world volume in the low-energy limit. We solve (numerically) classical static equations of motion and find the wall profile functions and the value of the coupling of the $O(3)$ model in terms of the bulk parameters. In the second part a term describing a spin-orbit interaction in the bulk is added, which gives rise to an entanglement between rotational and translational moduli. The corresponding extra term in the low-energy Lagrangian is calculated.

arXiv comment11 pages, 4 figures

References in corpus (4)

• Simple Models with Non-Abelian Moduli on Topological Defects
• Abrikosov-Nielsen-Olesen string with Non-Abelian Moduli and "Spin-Orbit" Interaction
• Calculating Extra (Quasi)Moduli on the Abrikosov-Nielsen-Olesen string with Spin-Orbit Interaction
• Non-Abelian Quasi-Gapless Modes Localized on Mass Vortices in Superfluid 3He-B

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• Strings and skyrmions on domain walls
• Q-lumps on a Domain Wall with a Spin-Orbit Interaction
• Scalar triplet on a domain wall