Three dimensional Seiberg-like duality and tropical cluster algebra

2013/11/04 by Dan Xie, Xie, Dan
Mathematics · Physics and Astronomy · #Combinatorics (math.CO) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th #math.CO

paper · pdf · doi:10.48550/arxiv.1311.0889

18 pages, 5 figures. References added, typo corrected

arxiv created 2013/11/19 · arxiv updated 2013/11/20

Abstract

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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