Abstract
Classical gravity coupled to a CFT4 (matter) is considered. The effect of the quantum dynamics of matter on gravity is studied around maximally symmetric spaces (flat, de Sitter and Anti de Sitter). The structure of the graviton propagator is modified and non-trivial poles appear due to matter quantum effects. The position and residues of such poles are mapped as a function of the relevant parameters, the central charge of the CFT4, the two R2 couplings of gravity as well as the curvature of the background space-time. The instabilities induced are determined. Such instabilities can be important in cosmology as they trigger the departure from de Sitter space and in some regions of parameters are more important than the well-known scalar instabilities. It is also determined when the presence of such instabilities is unreliable if the associated scales are larger than the “species” cutoff of the gravitational theory.
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Acknowledgments
We would like to thank D. Anninos, M. Kleban, D. Mateos, M. Montero, V. Niarchos, A. Porfyriadis, C. Rosen and I. Valenzuela. E. Kiritsis, F. Nitti and V. Nourry are supported in part by CNRS grant IEA 199430.
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Ghosh, J.K., Kiritsis, E., Nitti, F. et al. Quantum (in)stability of maximally symmetric space-times. J. High Energ. Phys. 2023, 98 (2023). https://doi.org/10.1007/JHEP11(2023)098
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DOI: https://doi.org/10.1007/JHEP11(2023)098