Tiling the plane without supersymmetry

Abstract

We present a way of tiling the plane with a regular hexagonal network of defects. The network is stable and follows in consequence of the three-junctions that appear in a model of two real scalar fields that presents $Z_3$ symmetry. The $Z_3$ symmetry is effective in both the vacuum and defect sectors, and no supersymmetry is required to build the network.

Revtex, 4 pages, 1 ps figure; version to appear in Phys. Rev. Lett

References in corpus (4)

• Solitons in systems of coupled scalar fields
• A Bogomol`nyi equation for intersecting domain walls
• Bags, junctions, and networks of BPS and non-BPS defects
• Domain Wall Junctions are 1/4-BPS States

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