Web construction of ABCDEFG and affine quiver gauge theories

Taro Kimura, Rui Dong Zhu

Research output: Contribution to journalArticlepeer-review

16 Citations (Scopus)


The topological vertex formalism for 5d N = 1 gauge theories is not only a convenient tool to compute the instanton partition function of these theories, but it is also accompanied by a nice algebraic structure that reveals various kinds of nice properties such as dualities and integrability of the underlying theories. The usual refined topological vertex ormalism is derived for gauge theories with A-type quiver structure (and A-type gauge groups). In this article, we propose a construction with a web of vertex operators for all ABCDEF G-type and affine quivers by introducing several new vertices into the formalism, based on the reproducing of known instanton partition functions and qq-characters for these theories.

Original languageEnglish
Article number25
JournalJournal of High Energy Physics
Issue number9
Publication statusPublished - 2019 Sept 1


  • Nonperturbative Effects
  • Supersymmetric Gauge Theory
  • Topological Strings
  • p-branes

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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