Three dimensional Seiberg-like duality and tropical cluster algebra

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.

18 pages, 5 figures. References added, typo corrected

References in corpus (8)

• 3d dualities from 4d dualities
• Seiberg Duality in Chern-Simons Theory
• Mirrors of 3d Sicilian theories
• Aspects of 3d N=2 Chern-Simons-Matter Theories
• Seiberg Duality for Quiver Gauge Theories
• M5 brane and four dimensional N=1 theories I
• Higher laminations, webs and N=2 line operators
• BPS spectrum, wall crossing and quantum dilogarithm identity

Cited by in corpus (3)

• ABJ Wilson loops and Seiberg Duality
• Web of Seiberg-like dualities for 3d $\mathcal{N}=2$ quivers
• Mutation, Witten Index, and Quiver Invariant