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Conformal bootstrap with slightly broken higher spin symmetry

Abstract:
We consider conformal field theories with slightly broken higher spin symmetry in arbitrary spacetime dimensions. We analyze the crossing equation in the double light-cone limit and solve for the anomalous dimensions of higher spin currents γs with large spin s. The result depends on the symmetries and the spectrum of the unperturbed conformal field theory. We reproduce all known results and make further predictions. In particular we make a prediction for the anomalous dimensions of higher spin currents in the 3d Ising model.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1007/JHEP06(2016)091

Authors


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Institution:
University of Oxford
Oxford college:
Hertford College
Role:
Author
Publisher:
Springer Berlin Heidelberg Publisher's website
Journal:
Journal of High Energy Physics Journal website
Volume:
2016
Issue:
6
Article number:
91
Publication date:
2016-06-01
Acceptance date:
2016-05-30
DOI:
ISSN:
1029-8479
Source identifiers:
632779
Keywords:
Pubs id:
pubs:632779
UUID:
uuid:bcb168a7-aa49-41ea-9059-cb28c28a5834
Local pid:
pubs:632779
Deposit date:
2017-01-06

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