Sabine Harribey: Boundaries and Interfaces with Localized Cubic Interactions in the O(N) Model

mercredi 4 oct. 2023, 14:00 → 16:00 Europe/Paris

In this talk, I will present a new approach to boundaries and interfaces in the O(N) model where we add certain localized cubic interactions. These operators are nearly marginal when the bulk is four dimensional and they explicitly break the O(N) symmetry of the bulk theory down to O(N-1). The one-loop beta functions of the cubic couplings are then modified by the quartic bulk interactions. I will present the RG analysis for both the interface and the boundary cases. In the interface case, for sufficiently large N, we find stable IR fixed points with purely imaginary cubic couplings. In the boundary case, we find real fixed points for all N.I will also review theories of M pairs of symplectic fermions and one real scalar. The beta functions for these theories are related to those in the O(N) model via the replacement of N by 1-2M.Based on arXiv:2307.00072