Classifying GNY-like models
High Energy Physics - Theory
2025-12-16 v1 Statistical Mechanics
Strongly Correlated Electrons
High Energy Physics - Lattice
Abstract
We perform a systematic classification of (2+1)d Gross--Neveu--Yukawa-like models built out of one or more 4-component Dirac fermions and scalar fields, which preserve an O() symmetry rotating the scalars. We then identify the perturbative fixed points of these models in the expansion. Our classification highlights several targets for the conformal bootstrap and reveals a new fixed point with , which we call the "orthogonal Heisenberg" CFT.
Cite
@article{arxiv.2512.11963,
title = {Classifying GNY-like models},
author = {Matthew S. Mitchell and David Poland},
journal= {arXiv preprint arXiv:2512.11963},
year = {2025}
}
Comments
28 pages, 1 figure