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arXiv · 2210.02492

The Gross-Neveu-Yukawa Archipelago

Rajeev S. Erramilli·Luca V. Iliesiu·Petr Kravchuk·Aike Liu·David Poland·David Simmons-Duffin
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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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Rajeev S. Erramilli, Luca V. Iliesiu, Petr Kravchuk, Aike Liu, David Poland, David Simmons-Duffin. 2022-10-05. The Gross-Neveu-Yukawa Archipelago. https://doi.org/10.1007/jhep02(2023)036

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