Web construction of ABCDEFG and affine quiver gauge theories

• Published in: The journal of high energy physics Vol. 2019; no. 9; pp. 1 - 58
• Main Authors: Kimura, Taro, Zhu, Rui-Dong
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.09.2019; Springer Nature B.V; Springer; SpringerOpen
• Subjects: Apexes; Classical and Quantum Gravitation; Construction; Elementary Particles; Formalism; High energy physics; Instantons; Nonperturbative Effects; Operators (mathematics); p-branes; Partitions; Partitions (mathematics); Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Quantum Physics; Regular Article - Theoretical Physics; Relativity Theory; String Theory; Supersymmetric Gauge Theory; Topological Strings; Topology; Webs; Topological Strings; p-branes; Nonperturbative Effects; Supersymmetric Gauge Theory
• ISSN: 1029-8479; 1126-6708; 1029-8479
• DOI: 10.1007/JHEP09(2019)025

A bstract 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.