Graded Local Conformal Nets 的 $\alpha$-induction

Ziyun Xu

Graded Local Conformal Nets 的 $\alpha$-induction

算子代数 2025-02-18 v3 数学物理 math.MP

作者: Ziyun Xu

摘要

研究了 Graded Local Conformal Nets 的 $\alpha$ -induction。我们证明了 Graded Local Conformal Nets 的包含关系会产生 braided subfactors，从而表明 $\alpha$ -induction 对 Graded Local Conformal Nets 仍然有效。作为应用，我们给出了对离散系列中 $N=2$ 超共形网的分类的一个更简洁的证明。

关键词

分层局部共形网 $\alpha$-induction braided subfactors 超共形网分类

引用

@article{arxiv.2407.01591,
  title  = {The $\alpha$-induction of Graded Local Conformal Nets},
  author = {Ziyun Xu},
  journal= {arXiv preprint arXiv:2407.01591},
  year   = {2025}
}

备注

The notion of graded localized endomorphisms is included. Some essential information missing in the previous version is added. arXiv admin note: substantial text overlap with arXiv:1207.2398, arXiv:1304.4062 by other authors

Graded Local Conformal Nets 的 $\alpha$-induction

摘要

关键词

引用

备注

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