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arXiv · 1809.00629

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

Shi Cheng·Sung-Soo Kim
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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 K\"ahler parameters associated with this Higgsing.

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Shi Cheng, Sung-Soo Kim. 2018-09-03. Refined topological vertex for a 5D $Sp(N)$ gauge theory with antisymmetric matter. https://doi.org/10.1103/physrevd.104.086004

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