M5-branes, toric diagrams and gauge theory duality

Understand

In this article we explore the duality between the low energy effective theory of five-dimensional N=1 SU(N)^{M-1} and SU(M)^{N-1} linear quiver gauge theories compactified on S^1.

• The theories we study are the five-dimensional uplifts of four-dimensional superconformal linear quivers.
• We study this duality by comparing the Seiberg-Witten curves and the Nekrasov partition functions of the two dual theories.
• The Seiberg-Witten curves are obtained by minimizing the worldvolume of an M5-brane with nontrivial geometry.