Dualities and 5-brane webs for 5d rank 2 SCFTs

A bstract We consider Type IIB 5-brane configurations for 5d rank 2 superconformal theories which are classified recently by geometry in [1]. We propose all the 5-brane web diagrams for these rank 2 theories and show dualities between some of different gauge theories with explicit duality map of mass parameters and Coulomb branch moduli. In particular, we explicitly construct 5-brane configurations for G 2 gauge theory with six flavors and its dual Sp(2) and SU(3) gauge theories. We also present 5-brane webs for SU(3) theories of Chern-Simons level greater than 5.