53 citations · 256 across the 21 of their papers we have counts for
4 papers · 1 filter
N=2 superconformal nets
Sebastiano Carpi, Robin Hillier, Yasuyuki Kawahigashi +2
We provide an Operator Algebraic approach to N=2 chiral Conformal Field Theory and set up the Noncommutative Geometric framework. Compared to the N=1 case, the structure here is mu…
Conformal nets and KK-theory
Sebastiano Carpi, Roberto Conti, Robin Hillier
Given a completely rational conformal net A on the circle, its fusion ring acts faithfully on the K_0-group of a certain universal C*-algebra associated to A, as shown in a previou…
Super-KMS functionals for graded-local conformal nets
Robin Hillier
Motivated by a few preceding papers and a question of R. Longo, we introduce super-KMS functionals for graded translation-covariant nets over R with superderivations, roughly speak…
Representations of Conformal Nets, Universal C*-Algebras and K-Theory
Sebastiano Carpi, Roberto Conti, Robin Hillier +1
We study the representation theory of a conformal net A on the circle from a K-theoretical point of view using its universal C*-algebra C*(A). We prove that if A satisfies the spli…