The Gross-Neveu-Yukawa archipelago
Rajeev Erramilli (Department of Physics, Yale University, 217 Prospect St, New Haven, CT, 06520, U.S.A.); Luca Iliesiu (Stanford Institute for Theoretical Physics, Stanford University, 382 Via Pueblo Mall, Stanford, CA, 94305, U.S.A.); Petr Kravchuk (Department of Mathematics, King’s College London, Strand, London, WC2R 2LS, U.K., School of Natural Sciences, Institute for Advanced Study, 1 Einstein Dr, Princeton, NJ, 08540, U.S.A., Simons Center for Geometry and Physics, Stony Brook University, 100 Nicolls Road, Stony Brook, NY, 11794-3840, U.S.A.); Aike Liu (Walter Burke Institute for Theoretical Physics, Caltech, 1200 East California Blvd, Pasadena, CA, 91125, U.S.A.); David Poland (Department of Physics, Yale University, 217 Prospect St, New Haven, CT, 06520, U.S.A.); et al - Show all 6 authors
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.
