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Categorical extensions of conformal nets

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arxiv 1812.04470 v8 pith:O7MVJJFW submitted 2018-12-11 math.QA math-phmath.MPmath.OA

Bin Gui This is my paper · ORCID
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An important goal in studying the relations between unitary VOAs and conformal nets is to prove the equivalence of their ribbon categories. In this article, we prove this conjecture for many familiar examples. Our main idea is to construct new structures associated to conformal nets: the categorical extensions.

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  1. Rational and non-rational two-dimensional conformal field theories arising from lattices

    math-ph 2025-06 conditional novelty 7.0 of 10

    Even lattices in an indefinite bilinear form classify two-dimensional conformal net extensions of Heisenberg nets under a discreteness assumption, with explicit rational and non-rational examples.

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