The converse conjecture for irreducible graded-local conformal nets
The converse conjecture for irreducible graded-local conformal nets
Let be an irreducible graded-local conformal net, meaning a graded-local conformal net satisfying the irreducibility condition. Converse conformal-net conjecture. For every irreducible graded-local conformal net , there exists a simple strongly graded-local unitary vertex operator superalgebra such that
This is the conformal-net-to-VOSA direction of the proposed correspondence. The source does not state a resolution.
Sources & referencesView supporting material
Primary source
Sebastiano Carpi, Tiziano Gaudio and Robin Hillier, “From vertex operator superalgebras to graded-local conformal nets and back”, arXiv:2304.14263 (2025).
Progress summary
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