Abstract We give criteria for determining the positivity of line bundles coming from vertex operator algebras (VOAs) on the moduli space M₀, ₍ of rational curves with n marked points. The criteria use the multiplicative structure of VOA representations encoded in the fusion ring. Using them, we construct positive line bundles on M₀, ₍ from certain parafermion VOAs. These give the first examples of commutant VOAs producing positive line bundles.
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Avik Chakravarty
International Mathematics Research Notices
University of Pennsylvania
Philadelphia University
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Avik Chakravarty (Tue,) studied this question.
www.synapsesocial.com/papers/69ec5b6088ba6daa22dacfd3 — DOI: https://doi.org/10.1093/imrn/rnag079
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