Non-Abelian currents bootstrap
A bstract We initiate the study of correlation functions of non-Abelian spin-1 conserved current in three-dimensional conformal field theories using numerical conformal bootstrap. We discuss the general framework and apply it to the particular cases of SU( N ) and O ( N ) global symmetry. In both ca...
Gespeichert in:
Veröffentlicht in: | JHEP 2024-03, Vol.2024 (3), p.175-34, Article 175 |
---|---|
Hauptverfasser: | , , , |
Format: | Artikel |
Sprache: | eng |
Schlagworte: | |
Online-Zugang: | Volltext |
Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
Zusammenfassung: | A
bstract
We initiate the study of correlation functions of non-Abelian spin-1 conserved current in three-dimensional conformal field theories using numerical conformal bootstrap. We discuss the general framework and apply it to the particular cases of SU(
N
) and
O
(
N
) global symmetry. In both cases, we obtain general bounds on operator dimensions. In the large-
N
limit our bounds show features in correspondence of the expected position of fermionic QED
3
in three dimensions, as well as other interesting theories. By imposing gaps inspired by the spectrum of QED
3
at large-
N
, we manage to restrict the plane of certain operator dimensions to a small island, where QED
3
must live. |
---|---|
ISSN: | 1029-8479 1029-8479 |
DOI: | 10.1007/JHEP03(2024)175 |