31 citations · 163 across the 21 of their papers we have counts for
21 papers
Quantum Operations in Algebraic QFT
Luca Giorgetti
Conformal Quantum Field Theories (CFT) in 1 or 1+1 spacetime dimensions (respectively called chiral and full CFTs) admit several "axiomatic" (mathematically rigorous and model-inde…
Wightman fields for two-dimensional conformal field theories with pointed representation category
Maria Stella Adamo, Luca Giorgetti, Yoh Tanimoto
Two-dimensional full conformal field theories have been studied in various mathematical frameworks, from algebraic, operator-algebraic to categorical. In this work, we focus our at…
Haploid algebras in -tensor categories and the Schellekens list
Sebastiano Carpi, Tiziano Gaudio, Luca Giorgetti +1
We prove that a haploid associative algebra in a -tensor category is equivalent to a Q-system (a special -Frobenius algebra) in if and only if…
Quantum Operations on Conformal Nets
Marcel Bischoff, Simone Del Vecchio, Luca Giorgetti
On a conformal net , one can consider collections of unital completely positive maps on each local algebra , subject to natural compatibility, vacuum p…
Bayesian inversion and the Tomita-Takesaki modular group
Luca Giorgetti, Arthur J. Parzygnat, Alessio Ranallo +1
We show that conditional expectations, optimal hypotheses, disintegrations, and adjoints of unital completely positive maps, are all instances of Bayesian inverses. We study the ex…
A planar algebraic description of conditional expectations
Luca Giorgetti
Let be a unital inclusion of arbitrary von Neumann algebras. We give a 2-{}-categorical/planar algebraic description of normal faithful conditi…