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The conformal invariance of unimodular gravity survives quantum corrections, even in the presence of conformal matter.
1975
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S. W. Hawking, “Zeta Function Regularization of Path Integrals in Curved Space-Time,” Commun. Math. Phys. 55
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G. W. Gibbons, S. W. Hawking and M. J. Perry, “Path Integrals and the Indefiniteness of the Gravitational Action,” Nucl. Phys. B 138
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Y. J. Ng and H. van Dam, “Unimodular Theory Of Gravity And The Cosmological Constant,” J. Math. Phys. 32
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M. Henneaux and C. Teitelboim, “Quantization of gauge systems,” Princeton, USA: Univ. Pr. (1992) 520 p
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J. Erdmenger, “Conformally covariant differential operators: Properties and applications,” Class. Quant. Grav. 14
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D. Blas, ‘Aspects of Infrared Modifications of Gravity,” arXiv:0809.3744 [hep-th]
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E. Alvarez and A. F. Faedo, “Unimodular cosmology and the weight of energy,” Phys. Rev. D 76
2007
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E. Alvarez and A. F. Faedo, “Renormalized Kaluza-Klein theories,” JHEP 0605
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