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...

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Veröffentlicht in:JHEP 2024-03, Vol.2024 (3), p.175-34, Article 175
Hauptverfasser: He, Yin-Chen, Rong, Junchen, Su, Ning, Vichi, Alessandro
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Sprache:eng
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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