3D CFT archipelago from single correlator bootstrap
We show that the scaling dimensions of lowest operators in conformal field theories (CFTs) can be isolated in small and closed regions from single correlator bootstrap. We find the conserved currents play crucial roles in bootstrapping the crossing equation. By imposing a mild gap between the scalin...
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doaj-f728a9e07ebc44ba871d8aa6ca74b5012020-11-24T20:43:07ZengElsevierPhysics Letters B0370-26932019-10-017973D CFT archipelago from single correlator bootstrapZhijin Li0Ning Su1George P. and Cynthia W. Mitchell Institute for Fundamental Physics and Astronomy, Texas A&M University, College Station, TX 77843, USA; Corresponding author.CAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, ChinaWe show that the scaling dimensions of lowest operators in conformal field theories (CFTs) can be isolated in small and closed regions from single correlator bootstrap. We find the conserved currents play crucial roles in bootstrapping the crossing equation. By imposing a mild gap between the scaling dimensions of the conserved current and its next operator, the scaling dimensions of lowest operators are forced to lie in small isolated regions, i.e., these CFTs can be almost fixed by few lowest operators in certain channels. For CFTs with extended supersymmetry, the single correlator crossing equation involves several conserved or shortened operators and by imposing gaps in these sectors it is possible to isolate different CFTs. Specifically, we bootstrap the isolated regions corresponding to the 3D Ising model, O(N) vector model, N=1,2 supersymmetric Ising models by introducing mild gaps in certain sectors with conserved or shortened operators.http://www.sciencedirect.com/science/article/pii/S0370269319306422 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Zhijin Li Ning Su |
spellingShingle |
Zhijin Li Ning Su 3D CFT archipelago from single correlator bootstrap Physics Letters B |
author_facet |
Zhijin Li Ning Su |
author_sort |
Zhijin Li |
title |
3D CFT archipelago from single correlator bootstrap |
title_short |
3D CFT archipelago from single correlator bootstrap |
title_full |
3D CFT archipelago from single correlator bootstrap |
title_fullStr |
3D CFT archipelago from single correlator bootstrap |
title_full_unstemmed |
3D CFT archipelago from single correlator bootstrap |
title_sort |
3d cft archipelago from single correlator bootstrap |
publisher |
Elsevier |
series |
Physics Letters B |
issn |
0370-2693 |
publishDate |
2019-10-01 |
description |
We show that the scaling dimensions of lowest operators in conformal field theories (CFTs) can be isolated in small and closed regions from single correlator bootstrap. We find the conserved currents play crucial roles in bootstrapping the crossing equation. By imposing a mild gap between the scaling dimensions of the conserved current and its next operator, the scaling dimensions of lowest operators are forced to lie in small isolated regions, i.e., these CFTs can be almost fixed by few lowest operators in certain channels. For CFTs with extended supersymmetry, the single correlator crossing equation involves several conserved or shortened operators and by imposing gaps in these sectors it is possible to isolate different CFTs. Specifically, we bootstrap the isolated regions corresponding to the 3D Ising model, O(N) vector model, N=1,2 supersymmetric Ising models by introducing mild gaps in certain sectors with conserved or shortened operators. |
url |
http://www.sciencedirect.com/science/article/pii/S0370269319306422 |
work_keys_str_mv |
AT zhijinli 3dcftarchipelagofromsinglecorrelatorbootstrap AT ningsu 3dcftarchipelagofromsinglecorrelatorbootstrap |
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1716820560804052992 |