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Teoreticheskaya i Matematicheskaya Fizika, 2019, Volume 201, Number 2, Pages 266–279
DOI: https://doi.org/10.4213/tmf9621 (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
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DOI: https://doi.org/10.4213/tmf9621
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).
Received: 14.08.2018
Revised: 05.02.2019
English version:
Theoretical and Mathematical Physics, 2019, Volume 201, Issue 2, Pages 1644–1654
DOI: https://doi.org/10.1134/S0040577919110084
Bibliographic databases:
Document Type: Article
PACS: 11.25.Hf, 11.30.Qc
Language: Russian
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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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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