Gluing affine Yangians with bi-fundamentals

• Published in: The journal of high energy physics Vol. 2020; no. 6; pp. 182 - 64
• Main Author: Li, Wei
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.06.2020; Springer Nature B.V; SpringerOpen
• Subjects: Algebra; Classical and Quantum Gravitation; Conformal and W Symmetry; Construction; Elementary Particles; Gluing; High energy physics; Higher Spin Symmetry; Integrable Hierarchies; Mathematical analysis; Operators (mathematics); Parameters; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Quantum Physics; Regular Article - Theoretical Physics; Relativity Theory; String Theory; Symmetry; Integrable Hierarchies; Conformal and W Symmetry; Higher Spin Symmetry

A bstract The affine Yangian of gl 1 is isomorphic to the universal enveloping algebra of W 1 + ∞ and can serve as a building block in the construction of new vertex operator algebras. In [1], a two-parameter family generalization of N = 2 supersymmetric W ∞ algebra was constructed by “gluing” two a...