Twisted Affine Yangian and Rectangular $W$-algebra of type $D$

Mamoru Ueda

Twisted Affine Yangian and Rectangular $W$-algebra of type $D$

Quantum Algebra 2022-03-02 v3

Authors: Mamoru Ueda

Abstract

We define the twisted affine Yangian of type $C$ and construct surjective homomorphisms from twisted affine Yangians of type $C$ to the universal enveloping algebra of the rectangular $W$ -algebra associated with $\mathfrak{so}(ln)$ and a nilpotent element whose Jordan form corresponds to the partition $(l^n)$ in the case when $l$ and $n$ are even.

Keywords

twisted k-theory jordan algebra lie algebras

Cite

@article{arxiv.2107.09999,
  title  = {Twisted Affine Yangian and Rectangular $W$-algebra of type $D$},
  author = {Mamoru Ueda},
  journal= {arXiv preprint arXiv:2107.09999},
  year   = {2022}
}