Speaker: Maria Stella Adamo (Univ. Tokyo)
Title: Wightman fields and their construction for a class of 2D CFTs
Time/Date: 4:45-6:15pm, June 6 (Tue.), 2023
Room: 126 Math Sci Building (It will be also online. The Zoom link is the same as before. If you don't have one, please ask Kawahigashi.)
Abstract: Wightman fields are mathematical objects used to investigate Quantum Field Theory. In this talk, we will focus on full 2-dimensional conformal quantum field theories, which have been successfully studied from the algebraic quantum field theory and operator algebra points of view, but Wightman fields have yet to be fully understood.
I will explain our construction of Wightman fields for the case of 2-dimensional theories which have chiral components whose representation categories possess enough automorphisms. In addition, I will discuss the construction of 2-dimensional Haag--Kastler nets associated to the Wightman field construction mentioned above. Lastly, we will overview our construction for the U(1)-current example.
This talk is based on joint work with L. Giorgetti, Y. Tanimoto, arXiv:2301.12310.