Towards classifying perturbative conformal field theory in 4-eps expansion

par Dr Junchen Rong (Institut des Hautes Études Scientifiques, Bures-sur-Yvette, France.)

mercredi 18 oct. 2023, 16:30 → 17:30 Europe/Paris

Maryam Mirzakhani (Institut Henri Poincaré)

Abstract:

Classifying perturbative fixed points near upper critical dimensions is crucial for understanding the space of conformal field theories and critical phases of matter. The one-loop beta functions for general scalar field theories are a set of polynomial equations. There are various mathematical approaches to solve these equations, including Buchberger’s algorithm to calculate the Gröbner basis and a group theory approach that relies on known subgroups of the orthogonal group. I will introduce the history of this problem and then discuss our recent revisit of this problem.

 

In-person event Info
https://indico.math.cnrs.fr/event/10547/