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arxiv: 2407.01591 · v3 · pith:7IAZS6SG · submitted 2024-06-24 · math.OA · math-ph· math.MP

The α-induction of Graded Local Conformal Nets

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classification math.OA math-phmath.MP
keywords netsconformalgradedlocalalphainductiongiveapplication
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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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