Bootstrapping the Three-Dimensional Supersymmetric Ising Model

We implement the conformal bootstrap program for three-dimensional CFTs with $\mathcal{N}=2$ supersymmetry and find universal constraints on the spectrum of operator dimensions in these theories. By studying the bounds on the dimension of the first scalar appearing in the OPE of a chiral and an anti...

Descripción completa

Detalles Bibliográficos
Autores principales: Bobev, Nikolay, El-Showk, Sheer, Mazac, Dalimil, Paulos, Miguel F.
Lenguaje:eng
Publicado: 2015
Materias:
Particle Physics - Theory
Acceso en línea:https://dx.doi.org/10.1103/PhysRevLett.115.051601
http://cds.cern.ch/record/1992507
_version_ 1780945811134218240
author Bobev, Nikolay
El-Showk, Sheer
Mazac, Dalimil
Paulos, Miguel F.
author_facet Bobev, Nikolay
El-Showk, Sheer
Mazac, Dalimil
Paulos, Miguel F.
author_sort Bobev, Nikolay
collection CERN
description We implement the conformal bootstrap program for three-dimensional CFTs with $\mathcal{N}=2$ supersymmetry and find universal constraints on the spectrum of operator dimensions in these theories. By studying the bounds on the dimension of the first scalar appearing in the OPE of a chiral and an anti-chiral primary, we find a kink at the expected location of the critical three-dimensional $\mathcal{N}=2$ Wess-Zumino model, which can be thought of as a supersymmetric analog of the critical Ising model. Focusing on this kink, we determine, to high accuracy, the low-lying spectrum of operator dimensions of the theory.
id cern-1992507
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2015
record_format invenio
spelling cern-19925072023-03-14T16:52:13Zdoi:10.1103/PhysRevLett.115.051601http://cds.cern.ch/record/1992507engBobev, NikolayEl-Showk, SheerMazac, DalimilPaulos, Miguel F.Bootstrapping the Three-Dimensional Supersymmetric Ising ModelParticle Physics - TheoryWe implement the conformal bootstrap program for three-dimensional CFTs with $\mathcal{N}=2$ supersymmetry and find universal constraints on the spectrum of operator dimensions in these theories. By studying the bounds on the dimension of the first scalar appearing in the OPE of a chiral and an anti-chiral primary, we find a kink at the expected location of the critical three-dimensional $\mathcal{N}=2$ Wess-Zumino model, which can be thought of as a supersymmetric analog of the critical Ising model. Focusing on this kink, we determine, to high accuracy, the low-lying spectrum of operator dimensions of the theory.We implement the conformal bootstrap program for three dimensional conformal field theories with N=2 supersymmetry and find universal constraints on the spectrum of operator dimensions in these theories. By studying the bounds on the dimension of the first scalar appearing in the operator product expansion of a chiral and an antichiral primary, we find a kink at the expected location of the critical three dimensional N=2 Wess-Zumino model, which can be thought of as a supersymmetric analog of the critical Ising model. Focusing on this kink, we determine, to high accuracy, the low-lying spectrum of operator dimensions of the theory, as well as the stress-tensor two-point function. We find that the latter is in an excellent agreement with an exact computation.We implement the conformal bootstrap program for three-dimensional CFTs with $\mathcal{N}=2$ supersymmetry and find universal constraints on the spectrum of operator dimensions in these theories. By studying the bounds on the dimension of the first scalar appearing in the OPE of a chiral and an anti-chiral primary, we find a kink at the expected location of the critical three-dimensional $\mathcal{N}=2$ Wess-Zumino model, which can be thought of as a supersymmetric analog of the critical Ising model. Focusing on this kink, we determine, to high accuracy, the low-lying spectrum of operator dimensions of the theory.arXiv:1502.04124oai:cds.cern.ch:19925072015-02-13
spellingShingle Particle Physics - Theory
Bobev, Nikolay
El-Showk, Sheer
Mazac, Dalimil
Paulos, Miguel F.
Bootstrapping the Three-Dimensional Supersymmetric Ising Model
title Bootstrapping the Three-Dimensional Supersymmetric Ising Model
title_full Bootstrapping the Three-Dimensional Supersymmetric Ising Model
title_fullStr Bootstrapping the Three-Dimensional Supersymmetric Ising Model
title_full_unstemmed Bootstrapping the Three-Dimensional Supersymmetric Ising Model
title_short Bootstrapping the Three-Dimensional Supersymmetric Ising Model
title_sort bootstrapping the three-dimensional supersymmetric ising model
topic Particle Physics - Theory
url https://dx.doi.org/10.1103/PhysRevLett.115.051601
http://cds.cern.ch/record/1992507
work_keys_str_mv AT bobevnikolay bootstrappingthethreedimensionalsupersymmetricisingmodel
AT elshowksheer bootstrappingthethreedimensionalsupersymmetricisingmodel
AT mazacdalimil bootstrappingthethreedimensionalsupersymmetricisingmodel
AT paulosmiguelf bootstrappingthethreedimensionalsupersymmetricisingmodel

Ejemplares similares