The Gross-Neveu-Yukawa archipelago

説明

<jats:title>A<jats:sc>bstract</jats:sc> </jats:title><jats:p>We perform a bootstrap analysis of a mixed system of four-point functions of bosonic and fermionic operators in parity-preserving 3d CFTs with <jats:italic>O</jats:italic>(<jats:italic>N</jats:italic>) global symmetry. Our results provide rigorous bounds on the scaling dimensions of the <jats:italic>O</jats:italic>(<jats:italic>N</jats:italic>)-symmetric Gross-Neveu-Yukawa (GNY) fixed points, constraining these theories to live in isolated islands in the space of CFT data. We focus on the cases <jats:italic>N</jats:italic> = 1, 2, 4, 8, which have applications to phase transitions in condensed matter systems, and compare our bounds to previous analytical and numerical results.</jats:p>

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