Vortices and superfields on a graph

Journal Article · Sat Aug 15 04:00:00 EDT 2009 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.80.045005· OSTI ID:21322501

Kan, Nahomi; Kobayashi, Koichiro; Shiraishi, Kiyoshi ^[1]

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1. Yamaguchi Junior College, Hofu, Yamaguchi 747-1232 (Japan)

We extend the dimensional deconstruction by utilizing the knowledge of graph theory. In the dimensional deconstruction, one uses the moose diagram to exhibit the structure of the 'theory space'. We generalize the moose diagram to a general graph with oriented edges. In the present paper, we consider only the U(1) gauge symmetry. We also introduce supersymmetry into our model by use of superfields. We suppose that vector superfields reside at the vertices and chiral superfields at the edges of a given graph. Then we can consider multivector, multi-Higgs models. In our model, [U(1)]{sup p} (where p is the number of vertices) is broken to a single U(1). Therefore, for specific graphs, we get vortexlike classical solutions in our model. We show some examples of the graphs admitting the vortex solutions of simple structure as the Bogomolnyi solution.

• OSTI ID: 21322501
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 4 Vol. 80; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CHIRALITY
GAUGE INVARIANCE
GRAPH THEORY
HIGGS MODEL
MATHEMATICAL SOLUTIONS
SIMULATION
SUPERSYMMETRY
SYMMETRY
SYMMETRY BREAKING
U-1 GROUPS
VORTICES