2000 character limit reached
The Gross-Neveu-Yukawa Archipelago (2210.02492v2)
Published 5 Oct 2022 in hep-th, cond-mat.stat-mech, cond-mat.str-el, and hep-lat
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.