Seminar series
Date
Mon, 14 May 2012
Time
12:00 -
13:00
Location
L3
Speaker
Yang-Hui He
Organisation
City University London
We establish a correspondence between generalized quiver gauge theories in
four dimensions and congruence subgroups of the modular group, hinging upon
the trivalent graphs which arise in both. The gauge theories and the graphs
are enumerated and their numbers are compared. The correspondence is
particularly striking for genus zero torsion-free congruence subgroups as
exemplified by those which arise in Moonshine. We analyze in detail the
case of index 24, where modular elliptic K3 surfaces emerge: here, the
elliptic j-invariants can be recast as dessins d'enfant which dictate the
Seiberg-Witten curves.