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Spontaneous generation of the Newton constant in the renormalizable gravity theory
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The conformal supergravity is suggested as a realistic theory for gravity interactions. It displays the spontaneous breaking of the conformal symmetry which results in appearance of the term proportional to the scalar curvature R in the effective potential with respect to small metric fluctuations.
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Cited by 3 Pith papers
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Hidden $\mathfrak{u}(2,1)$ symmetry and Jordan chains in a resonant ghostly three-dimensional model
A resonant ghostly 3D Pais-Uhlenbeck oscillator exhibits non-diagonalisable classical flow with Jordan chains of length three and a hidden u(2,1) spectrum-generating algebra upon quantization, with tri-Hamiltonian geo...
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Ghost-Free Quantisation of Higher Time-Derivative Theories via Non-Unitary Similarity Transformations
A non-unitary similarity transformation maps a ghostly two-dimensional oscillator with bounded but non-normalisable eigenstates to an isospectral Hermitian Hamiltonian whose eigenstates are normalisable.
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Lie symmetries and ghost-free representations of the Pais-Uhlenbeck model
The authors construct positive definite Hamiltonian formulations of the Pais-Uhlenbeck oscillator that preserve its dynamics by combining its two Hamiltonian structures, and they classify transformations that map it t...
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