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

Producción científica: Article › revisión exhaustiva

20 Citas (Scopus)

Resumen

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.

Idioma original	English
Número de artículo	41FT01
Publicación	Journal of Physics A: Mathematical and Theoretical
Volumen	48
N.º	41
DOI	https://doi.org/10.1088/1751-8113/48/41/41FT01
Estado	Published - sept 21 2015

Nota bibliográfica

Publisher Copyright:
© 2015 IOP Publishing Ltd.

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Statistics and Probability
Modeling and Simulation
Mathematical Physics
General Physics and Astronomy

Acceder al documento

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

Otros archivos y enlaces

Citar esto

@article{b233006b507d43499de9fe6507e89e02,

title = "Scale-invariant breaking of conformal symmetry",

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.",

keywords = "conformal field theory, higher spin symmetry, renormalization group",

author = "Anatoly Dymarsky and Alexander Zhiboedov",

note = "Publisher Copyright: {\textcopyright} 2015 IOP Publishing Ltd.",

year = "2015",

month = sep,

day = "21",

doi = "10.1088/1751-8113/48/41/41FT01",

language = "English",

volume = "48",

number = "41",

}

TY - JOUR

T1 - Scale-invariant breaking of conformal symmetry

AU - Dymarsky, Anatoly

AU - Zhiboedov, Alexander

PY - 2015/9/21

Y1 - 2015/9/21

N2 - 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.

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

UR - https://www.scopus.com/pages/publications/84947558321

UR - https://www.scopus.com/pages/publications/84947558321#tab=citedBy

U2 - 10.1088/1751-8113/48/41/41FT01

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

M3 - Article

AN - SCOPUS:84947558321

SN - 1751-8113

VL - 48

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

IS - 41

M1 - 41FT01

ER -

Scale-invariant breaking of conformal symmetry

Resumen

Nota bibliográfica

ASJC Scopus subject areas

Acceder al documento

Otros archivos y enlaces

Huella

Citar esto