The Gross-Neveu-Yukawa archipelago

Rajeev S. Erramilli, Luca V. Iliesiu, Petr Kravchuk, Aike Liu, David Poland*, David Simmons-Duffin

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

31 Citations (Scopus)

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.

Original languageEnglish
Article number36
JournalJournal of High Energy Physics
Volume2023
Early online date5 Oct 2022
DOIs
Publication statusPublished - 3 Feb 2023

Keywords

  • Conformal and W Symmetry
  • Global Symmetries
  • Nonperturbative Effects
  • Scale and Conformal Symmetries

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