Electric-magnetic duality and modular
invariance
Dr.
Siye Wu
The
Starting from the
electric-magnetic duality of the classical Maxewll
theory, we explain the role of Langlands
dual in non-Abelian gauge theory. We then describe
the quantum duality conjecture and its manifestations in various supersymmetric gauge theories. An example of such is the Vafa-Witten theory, whose partition functions are the generating
functions of the Euler numbers of the instanton moduli spaces. When the gauge group is simply laced, their
transformation under the modular group is consistent with the known topological
calculations. It is also related to theta functions and quadratic reciprocity.
In this talk, we propose the transformation law of the partition functions under
the Hecke group when the gauge group is non-simply
laced.
Date: |
January 31, 2008 (Thursday) |
Time: |
2:00 – 3:00pm |
Place: |
Room 517, Meng Wah Complex, HKU |
All are welcome