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The Gross-Neveu-Yukawa archipelago
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The Gross-Neveu-Yukawa archipelago
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The Gross-Neveu-Yukawa archipelago
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The Gross-Neveu-Yukawa archipelago
The Gross-Neveu-Yukawa archipelago
Journal Article

The Gross-Neveu-Yukawa archipelago

2023
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Overview
A bstract We perform a bootstrap analysis of a mixed system of four-point functions of bosonic and fermionic operators in parity-preserving 3d CFTs with O ( N ) global symmetry. Our results provide rigorous bounds on the scaling dimensions of the O ( N )-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 N = 1, 2, 4, 8, which have applications to phase transitions in condensed matter systems, and compare our bounds to previous analytical and numerical results.