Coset space construction for the~conformal group: Spontaneously
Teoretičeskaâ i matematičeskaâ fizika, Tome 201 (2019) no. 2, pp. 266-279

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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, inverse Higgs phenomenon, spontaneous space–time symmetry breaking.
Mots-clés : coset space technique
@article{TMF_2019_201_2_a7,
     author = {I. V. Kharuk},
     title = {Coset space construction for the~conformal group: {Spontaneously}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {266--279},
     publisher = {mathdoc},
     volume = {201},
     number = {2},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2019_201_2_a7/}
}
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I. V. Kharuk. Coset space construction for the~conformal group: Spontaneously. Teoretičeskaâ i matematičeskaâ fizika, Tome 201 (2019) no. 2, pp. 266-279. http://geodesic.mathdoc.fr/item/TMF_2019_201_2_a7/