Bootstrapping mixed MN correlators in 3D
Stefanos R. Kousvos, Andreas Stergiou
SciPost Phys. 12, 206 (2022) · published 28 June 2022
- doi: 10.21468/SciPostPhys.12.6.206
The recent emergence of the modern conformal bootstrap method for the study of conformal field theories (CFTs) has enabled the revisiting of old problems in classical critical phenomena described by three-dimensional CFTs. The study of such CFTs with $O(m)^n \rtimes S_n$ global symmetry, also known as MN models, is pursued in this work. Systems of mixed correlators involving scalar operators in two different representations of the global symmetry group are considered. Isolated allowed regions are found in parameter space for various values of $m$ and $n$. These "islands" can be separated into two qualitative groups: those close to the unitarity bound and those further away. As a by-product of our analysis generic tensor structures required to bootstrap any $G^n \rtimes S_n$ theory with $G$ arbitrary are worked out.
Cited by 1
Bertucci et al., Analytic bootstrap of mixed correlators in the O(n) CFT
J. High Energ. Phys. 2022, 104 (2022) [Crossref]
Authors / Affiliations: mappings to Contributors and OrganizationsSee all Organizations.
- 1 2 Stefanos Robert Kousvos,
- 3 4 Andreas Stergiou
- 1 Università di Pisa / University of Pisa [UniPi]
- 2 Πανεπιστήμιο Κρήτης / University of Crete [UOC]
- 3 King's College London [KCL]
- 4 Los Alamos National Laboratory [LANL]