3 papers
math-ph2025
Conformal nets from minimal W-algebras
Sebastiano Carpi, Tiziano Gaudio
We show the strong graded locality of all unitary minimal W-algebras, so that they give rise to irreducible graded-local conformal nets. Among these unitary vertex superalgebras, u…
math.OA2025
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.QA2024
Unitarity and strong graded locality of holomorphic vertex operator superalgebras with central charge at most 24
Tiziano Gaudio
We prove that all nice holomorphic vertex operator superalgebras (VOSAs) with central charge at most 24 and with non-trivial odd part are unitary, apart from the hypothetical ones…