58 citations · 372 across the 28 of their papers we have counts for
28 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…
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-un…
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…
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…