English

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

High Energy Physics - Theory 2021-10-15 v2

Abstract

We consider Type IIB 5-brane web diagrams for a 5D Sp(N)Sp(N) gauge theory with an antisymmetric hypermultiplet and NfN_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)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.

Keywords

Cite

@article{arxiv.1809.00629,
  title  = {Refined topological vertex for a 5D $Sp(N)$ gauge theory with antisymmetric matter},
  author = {Shi Cheng and Sung-Soo Kim},
  journal= {arXiv preprint arXiv:1809.00629},
  year   = {2021}
}

Comments

52 pages, 33 figures