Scale-invariant breaking of conformal symmetry

Anatoly Dymarsky; Alexander Zhiboedov

doi:10.1088/1751-8113/48/41/41FT01

Scale-invariant breaking of conformal symmetry

Anatoly Dymarsky, Alexander Zhiboedov

Physics And Astronomy

Research output: Contribution to journal › Article › peer-review

17 Scopus citations

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.

Original language	English
Article number	41FT01
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	48
Issue number	41
DOIs	https://doi.org/10.1088/1751-8113/48/41/41FT01
State	Published - Sep 21 2015

Bibliographical note

Publisher Copyright:
© 2015 IOP Publishing Ltd.

Keywords

conformal field theory
higher spin symmetry
renormalization group

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Statistics and Probability
Modeling and Simulation
Mathematical Physics
Physics and Astronomy (all)

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10.1088/1751-8113/48/41/41FT01

Cite this

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AB - 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.

KW - conformal field theory

KW - higher spin symmetry

KW - renormalization group

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Scale-invariant breaking of conformal symmetry

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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