Brane Tilings and Reflexive Polygons

Understand

Reflexive polygons have attracted great interest both in mathematics and in physics.

• This paper discusses a new aspect of the existing study in the context of quiver gauge theories.
• These theories are 4d supersymmetric worldvolume theories of D3 branes with toric Calabi-Yau moduli spaces that are conveniently described with brane tilings.
• We find all 30 theories corresponding to the 16 reflexive polygons, some of the theories being toric (Seiberg) dual to each other.