58 citations · 372 across the 28 of their papers we have counts for
17 papers · 1 filter
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…
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…
Operator algebras and vertex operator algebras
Sebastiano Carpi
In two-dimensional conformal field theory (CFT) the building blocks are given by chiral CFTs, i.e.~CFTs on the unit circle (compactified light-ray). They are generated by quantum f…
Loop groups and noncommutative geometry
Sebastiano Carpi, Robin Hillier
We describe the representation theory of loop groups in terms of K-theory and noncommutative geometry. This is done by constructing suitable spectral triples associated with the le…
From vertex operator algebras to conformal nets and back
Sebastiano Carpi, Yasuyuki Kawahigashi, Roberto Longo +1
We consider unitary simple vertex operator algebras whose vertex operators satisfy certain energy bounds and a strong form of locality and call them strongly local. We present a ge…
Superconformal nets and noncommutative geometry
Sebastiano Carpi, Robin Hillier, Roberto Longo
This paper provides a further step in our program of studying superconformal nets over S^1 from the point of view of noncommutative geometry. For any such net A and any family Delt…