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TMF, 2019, Volume 201, Number 2, Pages 266–279 (Mi tmf9621)  

Coset space construction for the conformal group: Spontaneously broken phase and inverse Higgs phenomenon

I. V. Kharukab

a Moscow Institute of Physics and Technology, Dolgoprudny, Moscow Oblast, Russia
b Institute for Nuclear Research, Russian Academy of Sciences, Moscow, Russia

Abstract: We establish a mathematically rigorous way to construct effective theories resulting from the spontaneous breaking of conformal invariance. We show that the Nambu–Goldstone field corresponding to spontaneously broken generators of special conformal transformations is always a nondynamical degree of freedom. We prove that the developed approach and the standard approach including application of the inverse Higgs mechanism are equivalent.

Keywords: conformal field theory, coset space technique, inverse Higgs phenomenon, spontaneous space–time symmetry breaking.

Funding Agency Grant Number
Russian Science Foundation 14-22-00161
This research was supported by a grant from the Russian Science Foundation (Project No. 14-22-00161).


DOI: https://doi.org/10.4213/tmf9621

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English version:
Theoretical and Mathematical Physics, 2019, 201:2, 1644–1654

Bibliographic databases:

PACS: 11.25.Hf, 11.30.Qc
Received: 14.08.2018
Revised: 05.02.2019

Citation: I. V. Kharuk, “Coset space construction for the conformal group: Spontaneously broken phase and inverse Higgs phenomenon”, TMF, 201:2 (2019), 266–279; Theoret. and Math. Phys., 201:2 (2019), 1644–1654

Citation in format AMSBIB
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\paper Coset space construction for the~conformal group: Spontaneously
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\vol 201
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\pages 266--279
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\crossref{https://doi.org/10.4213/tmf9621}
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\transl
\jour Theoret. and Math. Phys.
\yr 2019
\vol 201
\issue 2
\pages 1644--1654
\crossref{https://doi.org/10.1134/S0040577919110084}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85076358129}


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  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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