Coset space construction for the conformal group

@article{Kharuk2017CosetSC,
  title={Coset space construction for the conformal group},
  author={Ivan Kharuk},
  journal={Physical Review D},
  year={2017}
}
  • I. Kharuk
  • Published 9 November 2017
  • Mathematics
  • Physical Review D
The technique allowing to obtain conformally-invariant theories within the coset space construction is developed. It reproduces all consequences of the conformal invariance and Lagrangians of widely-known conformal field theories. The method of induced representations, which plays the key role in the construction, allows to reveal a special role of the "Nambu-Goldstone fields" for special conformal transformations. Namely, their dependence on the coordinates turns out to be fixed by the… 

Coset Space Construction for the Conformal Group: Spontaneously Broken Phase and Inverse Higgs Phenomenon

  • I. Kharuk
  • Physics
    Theoretical and Mathematical Physics
  • 2019
A self-contained method of obtaining effective theories resulting from the spontaneous breakdown of conformal invariance is developed. It allows to demonstrate that the Nambu-Goldstone fields for

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