Speaker: Maria Stella Adamo (FAU Erlangen-Nürnberg)

Title: Osterwalder-Schrader axioms for unitary full VOAs

Time/Date: 4:45-6:15pm, December 10 (Tue.), 2024

Room: 002 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: The celebrated Osterwalder-Schrader (OS) reconstruction results provide conditions to be verified by Euclidean n-point correlation functions to produce distributions that verify the Wightman axioms, which ultimately give rise to a quantum field theory à la Wightman. After a brief overview of the OS axioms and reconstruction results, I will show a conformal version of the OS axioms, including the linear growth condition, for n-point correlation functions defined for a reasonable class of unitary full Vertex Operator Algebras (VOAs). Such VOAs can be seen as extensions of commuting chiral and anti-chiral VOAs, introduced to describe compact 2D conformal field theories, which may include also irrational theories, e.g., extensions of Heisenberg VOAs.