Refined topological vertex for a 5D $Sp(N)$ gauge theory with antisymmetric matter

Abstract

We consider Type IIB 5-brane web diagrams for a 5D $Sp(N)$ gauge theory with an antisymmetric hypermultiplet and $N_f$ fundamental hypermultiplets. The corresponding 5-branes can be obtained by Higgsing a 5-brane web for quiver gauge theory. We use the refined topological vertex formalism to compute Nekrasov partition functions of 5D $Sp(2)$ theories with one antisymmetric hypermultiplet and flavors. Our results agree with the known results obtained from the ADHM method. We also discuss a particular tuning of Kähler parameters associated with this Higgsing.

52 pages, 33 figures

References in corpus (13)

• The Refined Topological Vertex
• Webs of five-branes and N=2 superconformal field theories
• 5-dim Superconformal Index with Enhanced En Global Symmetry
• On Geometric Classification of 5d SCFTs
• Coulomb Branch and The Moduli Space of Instantons
• Fiber-Base Duality and Global Symmetry Enhancement
• Lifting 4d dualities to 5d
• Dualities and 5-brane webs for 5d rank 2 SCFTs
• Surface Operator, Bubbling Calabi-Yau and AGT Relation
• 5-brane webs for 5d $\mathcal{N}=1$ $G_2$ gauge theories
• Exact partition functions of Higgsed 5d $T_N$ theories
• Discrete theta angle from an O5-plane
• 6d strings and exceptional instantons

Cited by in corpus (6)

• A slow review of the AGT correspondence
• Quantum toroidal algebras and solvable structures in gauge/string theory
• Refined topological vertex with ON-planes
• Instantons on Young diagrams with matters
• 3d $\mathcal{N}=2$ Brane Webs and Quiver Matrices
• Refined open topological strings revisited