# Vortices and Superfields on a Graph - High Energy Physics - Theory

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Abstract: We extend the dimensional deconstruction by utilizing the knowledge of graphtheory. In the dimensional deconstruction, one uses the moose diagram toexhibit the structure of the `theory space-. We generalize the moose diagram toa general graph with oriented edges. In the present paper, we consider only theU1 gauge symmetry. We also introduce supersymmetry into our model by use ofsuperfields. We suppose that vector superfields reside at the vertices andchiral superfields at the edges of a given graph. Then we can considermulti-vector, multi-Higgs models. In our model, $U1^p$ where $p$ is thenumber of vertices is broken to a single U1. Therefore for specific graphs,we get vortex-like classical solutions in our model. We show some examples ofthe graphs admitting the vortex solutions of simple structure as the Bogomolnyisolution.

Author: ** Nahomi Kan Ymaguchi Junior College, Koichiro Kobayashi, Kiyoshi Shiraishi Yamaguchi University**

Source: https://arxiv.org/