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arXiv · 1407.7144

Non-Abelian Moduli on Domain Walls

Evgeniy Kurianovych·Mikhail Shifman
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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.

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Evgeniy Kurianovych, Mikhail Shifman. 2014-07-26. Non-Abelian Moduli on Domain Walls. https://doi.org/10.1142/s0217751x14501930

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