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math.OA2023★ 3 cited
From vertex operator superalgebras to graded-local conformal nets and back
Sebastiano Carpi, Tiziano Gaudio, Robin Hillier
We generalize the Carpi-Kawahigashi-Longo-Weiner correspondence between vertex operator algebras and conformal nets to the case of vertex operator superalgebras and graded-local co…
math.QA2023★ 5 cited
Energy bounds for vertex operator algebra extensions
Sebastiano Carpi, Luca Tomassini
Let V be a simple unitary vertex operator algebra and U be a (polynomially) energy-bounded unitary subalgebra containing the conformal vector of V. We give two sufficient condition…