# 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} }

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…

## 4 Citations

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

- PhysicsTheoretical and Mathematical Physics
- 2019

We establish a mathematically rigorous way to construct effective theories resulting from the spontaneous breaking of conformal invariance. We show that the Namby-Goldstone field corresponding to…

### Goldstone fields and coset space construction for spontaneously broken spacetime symmetries

- Physics
- 2018

We argue that the currently accepted method of constructing effective theories resulting from spontaneous breaking of spacetime symmetries in the coset space framework is misleading. Namely, we…

### Nonlinearly realized conformal invariance in scale invariant field theories

- MathematicsPhysical Review D
- 2019

I explore the implications of promoting nonconformal scale-invariant theories to conformal theories by nonlinearly realizing the missing symmetry. Properties of the associated Nambu-Goldstone mode…

### Solving puzzles of spontaneously broken spacetime symmetries

- Physics, MathematicsPhysical Review D
- 2018

We establish a classical analog of the Nambu-Goldstone theorem for spontaneous breaking of spacetime symmetries. It provides a counting rule for independent Nambu-Goldstone fields and states which of…

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