$h$-adic quantum vertex algebras in types $B$, $C$, $D$ and their $\phi$-coordinated modules

Slaven Kožić

doi:10.1088/1751-8121/ac333b

$h$-adic quantum vertex algebras in types $B$, $C$, $D$ and their $\phi$-coordinated modules

Quantum Algebra 2021-11-12 v1

Authors: Slaven Kožić

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Abstract

We introduce the $h$ -adic quantum vertex algebras associated with the trigonometric $R$ -matrices in types $B$ , $C$ and $D$ , thus generalizing the well-known Etingof-Kazhdan construction in type $A$ . We show that restricted modules for quantum affine algebras in types $B$ , $C$ and $D$ are naturally equipped with the structure of $\phi$ -coordinated module for the aforementioned $h$ -adic quantum vertex algebras.

Keywords

quantum groups graded algebras vertex operator algebras

Cite

@article{arxiv.2107.10184,
  title  = {$h$-adic quantum vertex algebras in types $B$, $C$, $D$ and their $\phi$-coordinated modules},
  author = {Slaven Kožić},
  journal= {arXiv preprint arXiv:2107.10184},
  year   = {2021}
}

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