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Classifying GNY-like models

2025/12/12 by Matthew S. Mitchell, David Poland, Mitchell, Matthew S. +1 · 1 voice
#hep-th #cond-mat.stat-mech #cond-mat.str-el #hep-lat

paper · pdf · doi:10.48550/arxiv.2512.11963

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 M scalar fields, which preserve an O(M) symmetry rotating the scalars. We then identify the perturbative fixed points of these models in the 4-ε expansion. Our classification highlights several targets for the conformal bootstrap and reveals a new fixed point with M=3, which we call the "orthogonal Heisenberg" CFT.

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