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Conformal invariance of scalar perturbations in inflation · Around

2011

Conformal invariance of scalar perturbations in inflation

Creminelli, Paolo

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In inflationary models where the source of scalar perturbations is not the inflaton, but one or more scalars with negligible coupling with the inflaton, the resulting perturbations are not only scale invariant, but fully conformally invariant with conformal dimension close to zero.

This is closely related to the fact that correlation functions can only depend on the de Sitter invariant distances.
These properties follow from the isometries of the inflationary de Sitter space and are thus completely independent of the dynamics.
The 3-point function is fixed in terms of two constants, while the 4-point function is a function of two parameters (instead of five as in the absence of conformal invariance).

Built on

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N. Dalal, O. Dore, D. Huterer and A. Shirokov, Phys. Rev. D 77
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J. M. Maldacena and G. L. Pimentel, arXiv:1104.2846 [hep-th]
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I. Antoniadis, P. O. Mazur and E. Mottola, arXiv:1103.4164 [gr-qc]
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M. Spradlin, A. Strominger and A. Volovich, “Les Houches lectures on de Sitter space,” arXiv:hep-th/0110007
Cited in the paper.
K. Hinterbichler and J. Khoury, arXiv:1106.1428 [hep-th]
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Cited in the paper.

Then

C. Cheung, P. Creminelli, A. L. Fitzpatrick, J. Kaplan and L. Senatore, JHEP 0803
Original
2008
Later among the works it cites.
C. Cheung, A. L. Fitzpatrick, J. Kaplan and L. Senatore, JCAP 0802
Original
2008
Later among the works it cites.
V. A. Rubakov, JCAP 0909
Original
2009
Later among the works it cites.
P. Creminelli, A. Nicolis and E. Trincherini, JCAP 1011
Original
2010
Later among the works it cites.
L. Senatore and M. Zaldarriaga, arXiv:1009.2093 [hep-th]
Original
2093
Closest in time.

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