Built on

A. Kehagias and A. Riotto, “The Four-point Correlator in Multifield Inflation, the Operator Product Expansion and the Symmetries of de Sitter,”
Original
1918
Earlier work this paper cites.
S. L. Adler, “Consistency conditions on the strong interactions implied by a partially conserved axial vector current,” Phys. Rev
1965
Earlier work this paper cites.
S. Weinberg, “Pion scattering lengths,” Phys. Rev. Lett
1966
Earlier work this paper cites.
S. R. Coleman, J. Wess and B. Zumino, “Structure of phenomenological Lagrangians. 1.,” Phys. Rev
1969
Earlier work this paper cites.
C. G. Callan, Jr., S. R. Coleman, J. Wess and B. Zumino, “Structure of phenomenological Lagrangians. 2.,” Phys. Rev
1969
Earlier work this paper cites.
D. V. Volkov, “Phenomenological Lagrangians,” Sov. J. Particles Nucl
1973
Earlier work this paper cites.
G. Mack, “All Unitary Ray Representations of the Conformal Group SU(2,2) with Positive Energy,” Commun. Math. Phys
1977
Earlier work this paper cites.
I. Antoniadis, P. O. Mazur and E. Mottola, “Conformal invariance and cosmic background radiation,” Phys. Rev. Lett
1997
Earlier work this paper cites.
A. Strominger, “The dS / CFT correspondence,” JHEP
2001
Earlier work this paper cites.
I. Low and A. V. Manohar, “Spontaneously broken space-time symmetries and Goldstone’s theorem,” Phys. Rev. Lett
2002
Earlier work this paper cites.
J. M. Maldacena, “Non-Gaussian features of primordial fluctuations in single field inflationary models,” JHEP
2003
Earlier work this paper cites.
P. Creminelli and M. Zaldarriaga, “Single field consistency relation for the 3-point function,” JCAP
2004
Earlier work this paper cites.
S. Gratton, J. Khoury, P. J. Steinhardt and N. Turok, “Conditions for generating scale-invariant density perturbations,” Phys. Rev. D
2004
Earlier work this paper cites.
S. Weinberg, “Quantum contributions to cosmological correlations,” Phys. Rev. D
Original
2005
Earlier work this paper cites.
P. Creminelli, M. A. Luty, A. Nicolis and L. Senatore, “Starting the Universe: Stable Violation of the Null Energy Condition and Non-standard Cosmologies,” JHEP
2006
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.

Similar

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
Cited alongside, same era.
V. A. Rubakov, “Harrison-Zeldovich spectrum from conformal invariance,” JCAP
Original
2009
Cited alongside, same era.
A. Nicolis, R. Rattazzi and E. Trincherini, “The Galileon as a local modification of gravity,” Phys. Rev. D
Original
2009
Cited alongside, same era.
D. Seery, M. S. Sloth and F. Vernizzi, “Inflationary trispectrum from graviton exchange,” JCAP
Original
2009
Cited alongside, same era.
X. Chen, B. Hu, M. -x. Huang, G. Shiu and Y. Wang, “Large Primordial Trispectra in General Single Field Inflation,” JCAP

Then

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Reading the bibliography…

2012

Consistency Relations for the Conformal Mechanism

Creminelli, Paolo, Joyce, Austin, Khoury, Justin et al.

Understand

We systematically derive the consistency relations associated to the non-linearly realized symmetries of theories with spontaneously broken conformal symmetry but with a linearly-realized de Sitter subalgebra.

These identities relate (N+1)-point correlation functions with a soft external Goldstone to N-point functions.
These relations have direct implications for the recently proposed conformal mechanism for generating density perturbations in the early universe.
We study the observational consequences, in particular a novel one-loop contribution to the four-point function, relevant for the stochastic scale-dependent bias and CMB mu-distortion.

Built on

A. Kehagias and A. Riotto, “The Four-point Correlator in Multifield Inflation, the Operator Product Expansion and the Symmetries of de Sitter,”
Original
1918
Earlier work this paper cites.
S. L. Adler, “Consistency conditions on the strong interactions implied by a partially conserved axial vector current,” Phys. Rev
1965
Earlier work this paper cites.
S. Weinberg, “Pion scattering lengths,” Phys. Rev. Lett
1966
Earlier work this paper cites.
S. R. Coleman, J. Wess and B. Zumino, “Structure of phenomenological Lagrangians. 1.,” Phys. Rev
1969
Earlier work this paper cites.
C. G. Callan, Jr., S. R. Coleman, J. Wess and B. Zumino, “Structure of phenomenological Lagrangians. 2.,” Phys. Rev
1969
Earlier work this paper cites.
D. V. Volkov, “Phenomenological Lagrangians,” Sov. J. Particles Nucl
1973
Earlier work this paper cites.
G. Mack, “All Unitary Ray Representations of the Conformal Group SU(2,2) with Positive Energy,” Commun. Math. Phys
1977
Earlier work this paper cites.
I. Antoniadis, P. O. Mazur and E. Mottola, “Conformal invariance and cosmic background radiation,” Phys. Rev. Lett
1997
Earlier work this paper cites.
A. Strominger, “The dS / CFT correspondence,” JHEP
2001
Earlier work this paper cites.
I. Low and A. V. Manohar, “Spontaneously broken space-time symmetries and Goldstone’s theorem,” Phys. Rev. Lett
2002
Earlier work this paper cites.
J. M. Maldacena, “Non-Gaussian features of primordial fluctuations in single field inflationary models,” JHEP
2003
Earlier work this paper cites.
P. Creminelli and M. Zaldarriaga, “Single field consistency relation for the 3-point function,” JCAP
2004
Earlier work this paper cites.
S. Gratton, J. Khoury, P. J. Steinhardt and N. Turok, “Conditions for generating scale-invariant density perturbations,” Phys. Rev. D
2004
Earlier work this paper cites.
S. Weinberg, “Quantum contributions to cosmological correlations,” Phys. Rev. D
Original
2005
Earlier work this paper cites.
P. Creminelli, M. A. Luty, A. Nicolis and L. Senatore, “Starting the Universe: Stable Violation of the Null Energy Condition and Non-standard Cosmologies,” JHEP
2006
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.