Classification of 4d N=2 gauge theories
Chennai Mathematical Institute.
In the last 20 years, people have developed many mutually complementary
methods to obtain the Seiberg-Witten solutions of N=2 gauge theories.
However, none of them applies to arbitrary N=2 gauge theories, and each
of the methods have strengths and weaknesses depending on the type of
gauge theories. It would be interesting to know if the methods obtained
so far are powerful enough to solve all N=2 UV-complete gauge theories,
and if not, to develop new methods to solve them. Ideally, one might
want to find a general method to solve all such theories.