DOE OSTI · 2419925
The Gross-Neveu-Yukawa archipelago
Abstract
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.
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Erramilli, Rajeev S., Iliesiu, Luca V., Kravchuk, Petr, Liu, Aike, Poland, David, Simmons-Duffin, David. 2023-02-03. The Gross-Neveu-Yukawa archipelago. https://doi.org/10.1007/jhep02(2023)036
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