Three-dimensional theories with cubic symmetry are studied using the machinery of the numerical conformal bootstrap. Crossing symmetry and unitarity are imposed on a set of mixed correlators, and various aspects of the parameter space are probed for consistency. An isolated allowed region in parameter space is found under certain assumptions involving pushing operator dimensions above marginality, indicating the existence of a conformal field theory in this region. The obtained results have possible applications for ferromagnetic phase transitions as well as structural phase transitions in crystals. They are in tension with previous $\varepsilon$ expansion results, as noticed already in earlier work.
Cited by 4
Oleg Antipin et al., Spectrum of anomalous dimensions in hypercubic theories
Phys. Rev. D 100, 065008 (2019) [Crossref]
Riccardo Ben AlÃ¬ Zinati et al., Platonic field theories
J. High Energ. Phys. 2019, 152 (2019) [Crossref]
Andreas Stergiou, Bootstrapping MN and tetragonal CFTs in three dimensions
SciPost Phys. 7, 010 (2019) [Crossref]
Florent Baume et al., Superconformal blocks for mixed 1/2-BPS correlators with SU(2) R-symmetry
J. High Energ. Phys. 2019, 164 (2019) [Crossref]
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- 1 Stefanos R. Kousvos,
- 2 3 Andreas Stergiou
- 1 Πανεπιστήμιο Κρήτης / University of Crete [UOC]
- 2 Los Alamos National Laboratory [LANL]
- 3 Organisation européenne pour la recherche nucléaire / European Organization for Nuclear Research [CERN]
- CERN (through Organization: Organisation européenne pour la recherche nucléaire / European Organization for Nuclear Research [CERN])