As a consequence of electric-magnetic duality, partition functions of four-dimensional gauge theories
can be expressed in terms of modular forms in many cases. I will discuss new results for the modularity
of topologically twisted partition functions of N=2 and N=4 supersymmetric theories, and in particular
how these partititon functions may involve (iterated) integrals of modular forms.
Links:
[1] https://www.mpim-bonn.mpg.de/taxonomy/term/39
[2] https://www.mpim-bonn.mpg.de/node/3444
[3] https://www.mpim-bonn.mpg.de/YRSM2017