Finite $\mathcal{W}$-algebras of $\mathfrak{osp}_{1|2n}$ and Ghost centers

Naoki Genra

Finite $\mathcal{W}$-algebras of $\mathfrak{osp}_{1|2n}$ and Ghost centers

Representation Theory 2022-11-01 v1 Mathematical Physics math.MP Quantum Algebra

Authors: Naoki Genra

Abstract

We prove that the finite $\mathcal{W}$ -algebra associated to $\mathfrak{osp}_{1|2n}$ and its principal nilpotent element is isomorphic to Gorelik's ghost center of $\mathfrak{osp}_{1|2n}$ , which proves an analog of Kostant's theorem for $\mathfrak{osp}_{1|2n}$ .

Keywords

finite w-algebras osp superalgebra ghost center principal nilpotent kostant theorem

Cite

@article{arxiv.2210.16729,
  title  = {Finite $\mathcal{W}$-algebras of $\mathfrak{osp}_{1|2n}$ and Ghost centers},
  author = {Naoki Genra},
  journal= {arXiv preprint arXiv:2210.16729},
  year   = {2022}
}

Comments

14 pages

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