MS Seminar (Mathematics - String Theory)

Speaker: David Evans (Cardiff University)
Title: Quantum Symmetries, Subfactors and Conformal Field Theory
Date (JST): Thu, Jul 20, 2023, 10:30 - 12:00
Place: Seminar Room A
Related File: 3027.pdf
Abstract: Groups can act as symmetries of physical systems and on their mathematical
models as in conformal field theory. The subfactor theory of Vaughan Jones provides a framework for quantum symmetries beyond those arising from groups or their deformations as quantum groups or loop groups. The accepted position was that the Haagerup system, associated with a subfactor at index (5 + Sqrt(13))/2, was exotic and surely could not be constructed from group like symmetries. I discuss work with Terry Gannon that this should be considered as misconception and the more general issue of constructing conformal field theories from subfactors and their associated modular tensor categories for systems with non-invertible symmetries.
Remarks: Seminar Room A +Zoom