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.

arXiv comment32 pages, Mathematica file is attached: v2, typos corrected, JHEP version

References in corpus (25)

• Monopole Condensation, And Confinement In N=2 Supersymmetric Yang-Mills Theory
• Monopoles, Duality and Chiral Symmetry Breaking in N=2 Supersymmetric QCD
• Liouville Correlation Functions from Four-dimensional Gauge Theories
• Geometric Engineering of Quantum Field Theories
• F-theory and Orientifolds
• The Topological Vertex
• The Refined Topological Vertex
• Elliptic genera of 2d N=2 gauge theories
• 5-dim Superconformal Index with Enhanced En Global Symmetry
• ABCD of instantons
• Instanton counting, Macdonald function and the moduli space of D-branes
• Topological Strings and Nekrasov's formulas
• Brane webs and $O5$-planes
• Lifting 4d dualities to 5d
• Dualities and 5-brane webs for 5d rank 2 SCFTs
• 5-brane webs for 5d $\mathcal{N}=1$ $G_2$ gauge theories
• Rank-3 antisymmetric matter on 5-brane webs
• Topological vertex formalism with O5-plane
• 6d strings and exceptional instantons
• More on topological vertex formalism for 5-brane webs with O5-plane
• Instanton counting and O-vertex
• Partition functions of web diagrams with an O7${}^{-}$-plane
• Topological vertex for 6d SCFTs with ${\mathbb{Z}}_2$-twist
• Refined topological vertex with ON-planes
• Refined topological vertex for a 5D $Sp(N)$ gauge theory with antisymmetric matter

Cited by in corpus (2)

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