12.10.2023 (Thursday)

Torus 1-point functions for the su2 WZW model and their modular properties

Regular Seminar Simon Wood (Cardiff U.)

at:
14:00 QMUL
room G.O. Jones 610
abstract:

Characters of representations of chiral algebras are important tools in conformal field theory. They are a special chase of chiral torus 1-point functions (namely those where the vacuum has been inserted) and their modular properties famously give rise to the Verlinde formula. In this talk we will generalise from vacuum insertions to insertions from any irreducible representation in the example of the su2 WZW models at non-negative integral level and explore their modular properties.