Speaker
Mark Walton
(Department of Physics and Astronomy, University of Lethbridge)
Description
The modular S matrix is fundamental in any rational conformal field theory, including the Wess-Zumino-Witten (WZW) models. A strong similarity was noticed by the authors between the WZW modular S matrix, or affine S matrix, and certain discretized orbit functions. New properties of the orbit functions were found, mimicking the known characteristics of the affine S matrix. After reviewing this work, we will describe further new relations obeyed by the orbit functions. Finally, we will show how a discretization of the orbit functions, different from the original one, produces exactly the affine S matrix.
Authors
Jiri Hrivnak
(Department of Physics, Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University in Prague)
Mark Walton
(Department of Physics and Astronomy, University of Lethbridge)
