16 citations · 27 across the 6 of their papers we have counts for
6 papers
Algebra objects in direct limit completions of compact Lie group duals and the classification of vertex operator algebras
Sebastiano Carpi, Tiziano Gaudio, Luca Giorgetti
Let be a complex reductive affine algebraic group with its symmetric tensor category of finite-dimensional rational representations. We prove that every simple…
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…
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…
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…
Haploid algebras in -tensor categories and the Schellekens list
Sebastiano Carpi, Tiziano Gaudio, Luca Giorgetti +1
We prove that a haploid associative algebra in a -tensor category is equivalent to a Q-system (a special -Frobenius algebra) in if and only if…
Classification of unitary vertex subalgebras and conformal subnets for rank-one lattice chiral CFT models
Sebastiano Carpi, Tiziano Gaudio, Robin Hillier
We provide a complete classification of unitary subalgebras of even rank-one lattice vertex operator algebras. As a consequence of the correspondence between vertex operator algebr…