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Title: Bootstrapping mixed correlators in three-dimensional cubic theories II

Abstract

Conformal field theories (CFTs) with cubic global symmetry in 3D are relevant in a variety of condensed matter systems and have been studied extensively with the use of perturbative methods like the \varepsilon ε expansion. In an earlier work, we used the nonperturbative numerical conformal bootstrap to provide evidence for the existence of a previously unknown 3D CFT with cubic symmetry, dubbed “Platonic CFT”. In this work, we make further use of the numerical conformal bootstrap to perform a three-dimensional scan in the space of scaling dimensions of three low-lying operators. We find a three-dimensional isolated allowed region in parameter space, which includes both the 3D (decoupled) Ising model and the Platonic CFT. The essential assumptions on the spectrum of operators used to provide the isolated allowed region include the existence of a stress-energy tensor and the irrelevance of certain operators (in the renormalization group sense).

Authors:
 [1];  [2]
+ Show Author Affiliations
  1. University of Crete
  2. Los Alamos National Laboratory
Publication Date:
Research Org.:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1632714
Alternate Identifier(s):
OSTI ID: 1659208
Report Number(s):
LA-UR-19-30978
Journal ID: ISSN 2542-4653; 085
Grant/Contract Number:  
20180709PRD1; 89233218CNA000001
Resource Type:
Published Article
Journal Name:
SciPost Physics
Additional Journal Information:
Journal Name: SciPost Physics Journal Volume: 8 Journal Issue: 6; Journal ID: ISSN 2542-4653
Publisher:
Stichting SciPost
Country of Publication:
Netherlands
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Atomic; Nuclear and Particle Physics

Citation Formats

Kousvos, Stefanos R., and Stergiou, Andreas. Bootstrapping mixed correlators in three-dimensional cubic theories II. Netherlands: N. p., 2020. Web. doi:10.21468/SciPostPhys.8.6.085.
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Kousvos, Stefanos R., & Stergiou, Andreas. Bootstrapping mixed correlators in three-dimensional cubic theories II. Netherlands. https://doi.org/10.21468/SciPostPhys.8.6.085
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Kousvos, Stefanos R., and Stergiou, Andreas. Tue . "Bootstrapping mixed correlators in three-dimensional cubic theories II". Netherlands. https://doi.org/10.21468/SciPostPhys.8.6.085.
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@article{osti_1632714,
title = {Bootstrapping mixed correlators in three-dimensional cubic theories II},
author = {Kousvos, Stefanos R. and Stergiou, Andreas},
abstractNote = {Conformal field theories (CFTs) with cubic global symmetry in 3D are relevant in a variety of condensed matter systems and have been studied extensively with the use of perturbative methods like the \varepsilonε expansion. In an earlier work, we used the nonperturbative numerical conformal bootstrap to provide evidence for the existence of a previously unknown 3D CFT with cubic symmetry, dubbed “Platonic CFT”. In this work, we make further use of the numerical conformal bootstrap to perform a three-dimensional scan in the space of scaling dimensions of three low-lying operators. We find a three-dimensional isolated allowed region in parameter space, which includes both the 3D (decoupled) Ising model and the Platonic CFT. The essential assumptions on the spectrum of operators used to provide the isolated allowed region include the existence of a stress-energy tensor and the irrelevance of certain operators (in the renormalization group sense).},
doi = {10.21468/SciPostPhys.8.6.085},
journal = {SciPost Physics},
number = 6,
volume = 8,
place = {Netherlands},
year = {Tue Jun 09 00:00:00 EDT 2020},
month = {Tue Jun 09 00:00:00 EDT 2020}
}
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https://doi.org/10.21468/SciPostPhys.8.6.085
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