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arxiv: hep-th/9908090 · v2 · pith:LVNIWST7new · submitted 1999-08-12 · ✦ hep-th · cond-mat.soft· hep-ph· nlin.PS· patt-sol

Tiling the plane without supersymmetry

classification ✦ hep-th cond-mat.softhep-phnlin.PSpatt-sol
keywords networkplanesupersymmetrysymmetrytilingappearbuildconsequence
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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.

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