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 Nf 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 K\"ahler parameters associated with this Higgsing.
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