Affiliation:
1. University of Crete
2. University of Pisa
3. King's College London
4. Los Alamos National Laboratory
Abstract
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_nO(m)n⋊Sn
global symmetry, also known as 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
mm
and nn.
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_nGn⋊Sn
theory with GG
arbitrary are worked out.
Funder
European Research Council
Hellenic Foundation for Research and Innovation
Los Alamos National Laboratory
United States Department of Energy
Subject
General Physics and Astronomy
Cited by
4 articles.
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