Resolve the apparent line of fixed points in the quartic Yukawa tensor model

Determine whether the apparent marginal direction yielding a line of fixed points in the 3 expansion of the quartic Yukawa tensor model (along the combination h_p  3 h_5  3 h_7 + h_8) is genuine or an artifact of truncation, by establishing if the corresponding zero mode persists or is lifted at higher perturbative order or non-perturbatively.

Background

In the 3 perturbative analysis of the quartic Yukawa model, the authors find an apparent line of fixed points common to bosonic and fermionic sectors in a specific direction in coupling space.

They explicitly note that they are unable to establish whether this is a real feature or an artifact of the loop order considered, leaving open whether the marginal direction is lifted at higher order or by non-perturbative effects.