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arxiv: 1311.0889 · v2 · pith:RSML63OXnew · submitted 2013-11-04 · ✦ hep-th · math.CO

Three dimensional Seiberg-like duality and tropical cluster algebra

classification ✦ hep-th math.CO
keywords algebraclusterdimensionaldualityseiberg-likethreetropicalaspects
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Seiberg-like duality of three dimensional N=2 Chern-Simons-Matter quiver gauge theory is shown to have a chiral double tropical cluster algebra structure. We use cluster algebra results to study combinatorial aspects of these theories such as classification, supersymmetry breaking, etc.

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