Instantons on Young diagrams with matters

Abstract

We present the unrefined instanton partition functions of various 5d gauge theories with matter beyond the fundamental representation as sums over Young diagrams. By using these explicit expressions, we verify a range of identities among the instanton partition functions predicted by Higgsing procedures of fivebrane web diagrams and representation theory.

32 pages, Mathematica file is attached: v2, typos corrected, JHEP version

References in corpus (8)

• The Refined Topological Vertex
• 5-dim Superconformal Index with Enhanced En Global Symmetry
• Lifting 4d dualities to 5d
• Rank-3 antisymmetric matter on 5-brane webs
• More on topological vertex formalism for 5-brane webs with O5-plane
• Instanton counting and O-vertex
• Topological vertex for 6d SCFTs with ${\mathbb{Z}}_2$-twist
• Refined topological vertex with ON-planes

Cited by in corpus (2)

• ABCD of qq-characters
• Gauge origami and quiver W-algebras III: Donaldson--Thomas $qq$-characters