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J. M. Maldacena, “Non-Gaussian features of primordial fluctuations in single field inflationary models,” JHEP
2003
Earlier work this paper cites.
D. Babich, P. Creminelli and M. Zaldarriaga, “The Shape of non-Gaussianities,” JCAP
2004
Earlier work this paper cites.
N. Arkani-Hamed, P. Creminelli, S. Mukohyama and M. Zaldarriaga, “Ghost inflation,” JCAP
2004
Earlier work this paper cites.
C. Cheung, P. Creminelli, A. L. Fitzpatrick, J. Kaplan and L. Senatore, “The Effective Field Theory of Inflation,” JHEP
Original
2008
Earlier work this paper cites.
C. Cheung, A. L. Fitzpatrick, J. Kaplan and L. Senatore, “On the consistency relation of the 3-point function in single field inflation,” JCAP
Original
2008
Earlier work this paper cites.
N. Dalal, O. Dore, D. Huterer and A. Shirokov, “The imprints of primordial non-gaussianities on large-scale structure: scale dependent bias and abundance of virialized objects,” Phys. Rev. D
Original
2008
Earlier work this paper cites.
S. Matarrese and L. Verde, “The effect of primordial non-Gaussianity on halo bias,” Astrophys. J
Original
2008
Earlier work this paper cites.

Similar

N. Afshordi and A. J. Tolley, “Primordial non-gaussianity, statistics of collapsed objects, and the Integrated Sachs-Wolfe effect,” Phys. Rev. D
Original
2008
Cited alongside, same era.
P. Horava, “Quantum Gravity at a Lifshitz Point,” Phys. Rev. D
Original
2009
Cited alongside, same era.
S. Mukohyama, “Scale-invariant cosmological perturbations from Horava-Lifshitz gravity without inflation,” JCAP
Original
2009
Cited alongside, same era.
P. Creminelli, A. Nicolis and E. Trincherini, “Galilean Genesis: An Alternative to inflation,” JCAP
Original
2010
Cited alongside, same era.
D. Blas, O. Pujolas and S. Sibiryakov, “Consistent Extension of Horava Gravity,” Phys. Rev. Lett

Then

L. Senatore, K. M. Smith and M. Zaldarriaga, “Non-Gaussianities in Single Field Inflation and their Optimal Limits from the WMAP 5-year Data,” JCAP
Original
2010
Later among the works it cites.
D. Blas, O. Pujolas and S. Sibiryakov, “Models of non-relativistic quantum gravity: The Good, the bad and the healthy,” JHEP
Original
2011
Later among the works it cites.
D. Blas and S. Sibiryakov, “Technically natural dark energy from Lorentz breaking,” JCAP
Original
2011
Later among the works it cites.
E. Komatsu
Original
2011
Later among the works it cites.
P. Creminelli, G. D’Amico, M. Musso and J. Norena, “The (not so) squeezed limit of the primordial 3-point function,” JCAP
Original

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2012

Khronon inflation

Creminelli, Paolo, Noreña, Jorge, Peña, Manuel et al.

Understand

We study the possibility that the approximate time shift symmetry during inflation is promoted to the full invariance under time reparametrization t \to \tilde t(t), or equivalently under field redefinition of the inflaton \phi \to \tilde\phi(\phi).

The symmetry allows only two operators at leading order in derivatives, so that all n-point functions of scalar perturbations are fixed in terms of the power spectrum normalization and the speed of sound.
During inflation the decaying mode only decays as 1/a and this opens up the possibility to violate some of the consistency relations in the squeezed limit, although this violation is suppressed by the (small) breaking of the field reparametrization symmetry.
In particular one can get terms in the 3-point function that are only suppressed by 1/k_L in the squeezed limit k_L \to 0 compared to the local shape.