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On the higher-spin spectrum in large N Chern-Simons vector models

Giombi, S. ; Gurucharan, V. ; Kirilin, V. ; Prakash, S. ; Skvortsov, E.

The journal of high energy physics, 2017-01, Vol.2017 (1), p.1-51, Article 58 [Periódico revisado por pares]

Berlin/Heidelberg: Springer Berlin Heidelberg

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Título:
On the higher-spin spectrum in large N Chern-Simons vector models
Autor: Giombi, S. ; Gurucharan, V. ; Kirilin, V. ; Prakash, S. ; Skvortsov, E.
Assuntos: Classical and Quantum Gravitation ; Coupling ; Elementary Particles ; Equations of motion ; High energy physics ; Mathematical analysis ; Mathematical models ; Operators ; Physics ; Physics and Astronomy ; Quantum Field Theories ; Quantum Field Theory ; Quantum Physics ; Regular Article - Theoretical Physics ; Relativity Theory ; Scalars ; String Theory ; Symmetry ; Three dimensional models
É parte de: The journal of high energy physics, 2017-01, Vol.2017 (1), p.1-51, Article 58
Notas: ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
Descrição: A bstract Chern-Simons gauge theories coupled to massless fundamental scalars or fermions define interesting non-supersymmetric 3d CFTs that possess approximate higher-spin symmetries at large N . In this paper, we compute the scaling dimensions of the higher-spin operators in these models, to leading order in the 1 /N expansion and exactly in the ’t Hooft coupling. We obtain these results in two independent ways: by using conformal symmetry and the classical equations of motion to fix the structure of the current non-conservation, and by a direct Feynman diagram calculation. The full dependence on the ’t Hooft coupling can be restored by using results that follow from the weakly broken higher-spin symmetry. This analysis also allows us to obtain some explicit results for the non-conserved, parity-breaking structures that appear in planar three-point functions of the higher-spin operators. At large spin, we find that the anomalous dimensions grow logarithmically with the spin, in agreement with general expectations. This logarithmic behavior disappears in the strong coupling limit, where the anomalous dimensions turn into those of the critical O ( N ) or Gross-Neveu models, in agreement with the conjectured 3d bosonization duality.
Editor: Berlin/Heidelberg: Springer Berlin Heidelberg
Idioma: Inglês

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On the higher-spin spectrum in large N Chern-Simons vector models

Giombi, S. ; Gurucharan, V. ; Kirilin, V. ; Prakash, S. ; Skvortsov, E.

Berlin/Heidelberg: Springer Berlin Heidelberg

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