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arXiv · 2407.01591

The $\alpha$-induction of Graded Local Conformal Nets

Ziyun Xu
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Abstract

The $\alpha$-induction of graded local conformal nets is studied. We show that inclusions of graded local conformal nets give rise to braided subfactors so that the $\alpha$-induction is still effective for graded local conformal nets. As an application, we give a shorter proof of classification of $N=2$ superconformal nets in the discrete series.

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Ziyun Xu. 2024-06-24. The $\alpha$-induction of Graded Local Conformal Nets. https://arxiv.org/abs/2407.01591

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