4 papers
Vertex operator algebras, partition functions and Teichmüller modular forms
Sebastiano Carpi, Giulio Codogni
In the spirit of the geometric approach to two-dimensional conformal field theory, we explicitly associate to every holomorphic vertex operator algebra a section of a power of Hodg…
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…
Non-unitary Wightman CFTs and non-unitary vertex algebras
Sebastiano Carpi, Christopher Raymond, Yoh Tanimoto +1
We give an equivalence of categories between: (i) Möbius vertex algebras which are equipped with a choice of generating family of quasiprimary vectors, and (ii) (not-necessarily-u…
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…