field theory

Find explicit expressions for and study properties of conformal blocks, which are the building blocks of local correlation functions in CFTs.

Explore the properties of supersymmetric Yang-Mills theory in the lightcone gauge, where the description is entirely in terms of the physical degrees of freedom.

Investigate quantum field theory on p-adic spaces and its relation to QFT on continuous spacetime. The simplest constructions of QFT on p-adic spaces are nonlocal, have an inherently hiearchical nature, and enjoy various powerful properties such as a non-renormalization theorem.