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

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Classifying GNY-like models

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年5月13日

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  • Matthew S. Mitchell,
  • David Poland

摘要

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.