Rank-3 antisymmetric matter on 5-brane webs

Abstract

We discuss Type IIB 5-brane configurations for 5d $\mathcal{N}=1$ gauge theories with hypermultiplets in the rank-3 antisymmetric representation and with various other hypermultiplets, which flow to a UV fixed point at the infinite coupling. We propose 5-brane web diagrams for the theories of $SU(6)$ and $Sp(3)$ gauge groups with rank-3 antisymmetric matter and check our proposed 5-brane webs against several consistency conditions implied from the one-loop corrected prepotential. Using the obtained 5-brane webs for rank-3 antisymmetric matter, we apply the topological vertex method to compute the partition function for one of these $SU(6)$ gauge theories.

v1: 46 pages, 39 figures; v2: 47 pages, published version

References in corpus (6)

• The Refined Topological Vertex
• Webs of five-branes and N=2 superconformal field theories
• Lifting 4d dualities to 5d
• Equivalence of several descriptions for 6d SCFT
• Exact partition functions of Higgsed 5d $T_N$ theories
• Discrete theta angle from an O5-plane

Cited by in corpus (6)

• (5d RG-flow) Trees in the Tropical Rain Forest
• Complete prepotential for 5d $\mathcal{N}=1$ superconformal field theories
• Instantons from Blow-up
• Magnetic quivers and negatively charged branes
• The Cat's Cradle: Deforming the higher rank $E_1$ and ${\tilde{E}}_1$ theories
• Exploring the orthosymplectic zoo