Speaker
Sylvain Carrozza
(Perimeter Institute, Waterloo)
Description
I will summarize the structure and scope of the so-called melonic large N expansion, which typically governs the large N behaviour of theories involving higher rank tensors. Compared to vector and matrix theories, What distinguishes it from the large N expansions of vector or matrix theories is that it is dominated by a non-trivial family of Feynman diagrams -- the melon diagrams -- which remains explicitly summable in a variety of situations. This provides a new analytical window into non-perturbative aspects of quantum theory, which has been taken advantage of to investigate strongly-interacting fermionic disordered systems (SYK model) and higher-dimensional generalizations.
