58 citations · 372 across the 28 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…
How to add a boundary condition
Sebastiano Carpi, Yasuyuki Kawahigashi, Roberto Longo
Given a conformal QFT local net of von Neumann algebras B_2 on the two-dimensional Minkowski spacetime with irreducible subnet A\otimes\A, where A is a completely rational net on t…
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…