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Scale-invariant breaking of conformal symmetry

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 22 Sep 2015Embargo end date: 01 Jan 2015Publisher:IOP PublishingJournal:Journal of Physics A: Mathematical and Theoretical, volume 48, page 41FT01 (issn: 1751-8113, eissn: 1751-8121,

Authors: Alexander Zhiboedov; Anatoly Dymarsky; Anatoly Dymarsky;

doi: 10.1088/1751-8113/48/41/41ft01 , 10.48550/arxiv.1505.01152

arXiv: http://arxiv.org/abs/1505.01152

Scale-invariant breaking of conformal symmetry

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Abstract

Known examples of unitary relativistic scale but not conformal-invariant field theories (SFTs) can be embedded into conventional conformal field theories (CFTs). We show that any SFT which is a subsector of a unitary CFT is a free theory. Our discussion applies to an arbitrary number of spacetime dimensions and explains triviality of known SFTs in four spacetime dimensions. We comment on examples of unitary SFTs which are not captured by our construction.

12 pages

Related Organizations

Harvard University
United States
Skolkovo Institute of Science and Technology
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Massachusetts Institute of Technology
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Keywords

High Energy Physics - Theory, High Energy Physics - Theory (hep-th), FOS: Physical sciences

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