J.M. Maldacena, Non-Gaussian features of primordial fluctuations in single field inflationary models, JHEP05 (2003) 013 [astro-ph/0210603] [INSPIRE].
J.M. Maldacena and G.L. Pimentel, On graviton non-Gaussianities during inflation, JHEP09 (2011) 045 [arXiv:1104.2846] [INSPIRE].
X. Gao, T. Kobayashi, M. Yamaguchi and J. Yokoyama, Primordial non-Gaussianities of gravitational waves in the most general single-field inflation model, Phys. Rev. Lett.107 (2011) 211301 [arXiv:1108. 3513] [INSPIRE].
J. Soda, H. Kodama and M. Nozawa, Parity violation in graviton non-Gaussianity, JHEP08 (2011) 067 [arXiv:1106 .3228] [INSPIRE].
M. Shiraishi, D. Nitta and S. Yokoyama, Parity violation of gravitons in the CMB bispectrum, Frog. Theor. Phys.126 (2011) 937 [arXiv: 1108 . 0175] [INSPIRE].
E. Dimastrogiovanni, M. Fasiello and M. Kamionkowski, Imprints of massive primordial fields on large-scale structure, JCAP02 (2016) 017 [arXiv:1504.05993] [INSPIRE].
M. Biagetti, E. Dimastrogiovanni and M. Fasiello, Possible signatures of the inflationary particle content: spin-2 fields, JCAP10 (2017) 038 [arXiv: 1708 . 01587] [INSPIRE].
E. Dimastrogiovanni, M. Fasiello and G. Tasinato, Probing the inflationary particle content: extra spin-2field, JCAP08 (2018) 016 [arXiv:1806 . 00850] [INSPIRE].
E. Dimastrogiovanni, M. Fasiello, G. Tasinato and D. Wands, Tensor non-Gaussianities from non-minimal coupling to the inflaton, JCAP02 (2019) 008 [arXiv:1810 . 08866] [INSPIRE].
LISA collaboration, Laser Interferometer Space Antenna,
P. Adshead and E.A. Lim, 3-pt statistics of cosmological stochastic gravitational waves, Phys. Rev.D 82 (2010) 024023 [arXiv:0912 .1615] [INSPIRE].
N. Bartolo et al., Probing non-Gaussian stochastic gravitational wave backgrounds with LISA , JCAP11 (2018) 034 [arXiv:1806 . 02819] [INSPIRE].
C. de Rham, G. Gabadadze and A.J. Tolley, Resummation of massive gravity, Phys. Rev. Lett.106 (2011) 231101 [arXiv:1011 . 1232] [INSPIRE].
K. Hinterbichler , Theoretical aspects of massive gravity, Rev. Mod . Phys.84 (2012) 671 [arXiv : 1105 .3735] [INSPIRE].
C. de Rham, Massive gravity, Living Rev. Rel17 (2014) 7 [arXiv:1401. 4173] [INSPIRE].
S.F. Hassan and R.A. Rosen, Bimetric gravity from ghost-free massive gravity, JHEP02 (2012) 126 [arXiv:1109 .3515] [INSPIRE].
A. Schmidt-May and M. von Strauss, Recent developments in bimetric theory, J. Phys. A 49 (2016) 183001 [arXiv:1512.00021] [INSPIRE].
K. Hinterbichler and R.A. Rosen, Interacting spin-2 fields, JHEP07 (2012) 047 [arXiv: 1203 .5783] [INSPIRE].
A. Higuchi, Forbidden mass range for spin-2 field theory in de Sitter space-time, Nucl. Phys.B 282 (1987) 397 [INSPIRE].
Yu.M. Zinoviev, On massive spin 2 interactions, Nucl. Phys.B 770 (2007) 83 [hep-th/0609170] [INSPIRE].
S.F. Hassan, A. Schmidt-May and M. von Strauss, On partially massless bimetric gravity, Phys. Lett.B 726 (2013) 834 [arXiv: 1208 .1797] [INSPIRE].
S.F. Hassan, A. Schmidt-May and M. von Strauss, Bimetric theory and partial masslessness with Lanczos-Lovelock terms in arbitrary dimensions, Class. Quant. Grav.30 (2013) 184010 [arXiv: 1212 .4525] [INSPIRE].
C. de Rham and S. Renaux-Petel, Massive gravity on de Sitter and unique candidate for partially massless gravity, JCAP01 (2013) 035 [arXiv:1206.3482] [INSPIRE].
S.F. Hassan, A. Schmidt-May and M. von Strauss, Higher derivative gravity and conformal gravity from bimetric and partially massless bimetric theory, Universe1 (2015) 92 [arXiv: 1303 .6940] [INSPIRE].
S. Deser, M. Sandora and A. Waldron, Nonlinear partially massless from massive gravity?, Phys. Rev.D 87 (2013) 101501 [arXiv:1301.5621] [INSPIRE].
C. de Rham, K. Hinterbichler, R.A. Rosen and A.J. Tolley, Evidence for and obstructions to nonlinear partially massless gravity, Phys. Rev.D 88 (2013) 024003 [arXiv:1302. 0025] [INSPIRE].
Yu. M. Zinoviev, Massive spin-2 in the Fradkin- Vasiliev formalism. I. Partially massless case, Nucl. Phys.B 886 (2014) 712 [arXiv:1405.4065] [INSPIRE].
S. Garcia-Saenz and R.A. Rosen, A non-linear extension of the spin-2 partially massless symmetry, JHEP05 (2015) 042 [arXiv:1410.8734] [INSPIRE].
K. Hinterbichler, Manifest duality invariance for the partially massless graviton, Phys. Rev.D 91 (2015) 026008 [arXiv:1409.3565] [INSPIRE].
E. Joung, W. Li and M. Taronna, No-go theorems for unitary and interacting partially massless spin-two fields, Phys. Rev. Lett.113 (2014) 091101 [arXiv:1406. 2335] [INSPIRE].
S. Alexandrov and C. Deffayet, On partially massless theory in 3 dimensions, JCAP03 (2015) 043 [arXiv:1410. 2897] [INSPIRE].
S.F. Hassan, A. Schmidt-May and M. von Strauss, Extended Weyl invariance in a bimetric mod el and partial masslessness, Class. Quant. Grav.33 (2016) 015011 [arXiv:1507 .06540] [INSPIRE].
K. Hinterbichler and R.A. Rosen, Partially massless monopoles and charges, Phys. Rev.D 92 (2015) 105019 [arXiv:1507.00355] [INSPIRE].
D. Cherney, S. Deser, A. Waldron and G. Zahariade, Non-linear duality invariant partially massless models ?, Phys. Lett.B 753 (2016) 293 [arXiv:1511. 01053] [INSPIRE].
S. Gwak, E. Joung, K. Mkrtchyan and S.-J. Rey, Rainbow valley of colored ( anti) de Sitter gravity in three dimensions, JHEP04 (2016) 055 [arXiv: 1511.05220] [INSPIRE].
S. Gwak, E. Joung, K. Mkrtchyan and S.-J. Rey, Rainbow vacua of colored higher-spin (A)dS3gravity, JHEP05 (2016) 150 [arXiv:1511.05975] [INSPIRE].
S. Garcia-Saenz, K. Hinterbichler, A. Joyce, E. Mitsou and R.A. Rosen, No-go for partially massless spin-2 Yang-Mills, JHEP02 (2016) 043 [arXiv:1511.03270] [INSPIRE].
K. Hinterbichler and A. Joyce, Manifest duality for partially massless higher spins, JHEP09 (2016) 141 [arXiv:1608 . 04385] [INSPIRE].
J. Bonifacio and K. Hinterbichler, Kaluza-Klein reduction of massive and partially massless spin-2fields, Phys. Rev.D 95 (2017) 024023 [arXiv:1611.00362] [INSPIRE].
L. Apolo and S.F. Hassan, Non-linear partially massless symmetry in an 80(1, 5) continuation of conformal gravity, Class. Quant. Grav.34 (2017) 105005 [arXiv: 1609 .09514] [INSPIRE].
L. Apolo, S.F. Hassan and A. Lundkvist, Gauge and global symmetries of the candidate partially massless bimetric gravity, Phys. Rev.D 94 (2016) 124055 [arXiv: 1609 .09515] [INSPIRE].
L. Bernard, C. Deffayet, K. Hinterbichler and M. von Strauss, Partially massless graviton on beyond Einstein spacetimes, Phys. Rev.D 95 (2017) 124036 [Erratum ibid.D 98 (2018) 069902] [arXiv:1703.02538] [INSPIRE].
N. Boulanger, C. Deffayet, S. Garcia-Saenz and L. Traina, Consistent d e formations of free massive field theories in the Stueckelberg formulation, JHEP07 (2018) 021 [arXiv: 1806 .04695] [INSPIRE].
X. Bekaert and M. Grigoriev, Higher order singletons, partially massless fields and their boundary values in the ambient approach, Nucl. Phys.B 876 (2013) 667 [arXiv:1305 . 0162] [INSPIRE].
T. Basile, X. Bekaert and N. Boulanger, Flato-Fronsdal theorem for higher-order singletons, JHEP11 (2014) 131 [arXiv:1410 . 7668] [INSPIRE].
K.B. Alkalaev, M. Grigoriev and E.D. Skvortsov, Uniformizing higher-spin equations, J. Phys.A 48 (2015) 015401 [arXiv:1409 . 6507] [INSPIRE].
E. Joung and K. Mkrtchyan, Partially-massless higher-spin algebras and their finite-dimensional truncations, JHEP01 (2016) 003 [arXiv:1508 . 07332] [INSPIRE].
C. Brust and K. Hinterbichler, Partially massless higher-spin theory, JHEP02 (2017) 086 [arXiv: 1610 . 08510] [INSPIRE].
E. Joung, L. Lopez and M. Taronna, On the cubic interactions of massive and partially-massless higher spins in ( A) dS, JHEP07 (2012) 041 [arXiv: 1203 .6578] [INSPIRE].
E. Joung, L. Lopez and M. Taronna, Generating functions of (partially- ) massless higher-spin cubic interactions, JHEP01 (2013) 168 [arXiv:1211.5912] [INSPIRE].
N. Arkani-Hamed and J. Maldacena, Cosmological collider physics,
arXiv:1503 . 08043 [INSPIRE].
H. Lee, D. Baumann and G.L. Pimentel, Non-Gaussianity as a particle detector, JHEP12 (2016) 040 [arXiv:1607. 03735] [INSPIRE].
P. Creminelli, Conformal invariance of scalar perturbations in inflation, Phys. Rev.D 85 (2012) 041302 [arXiv:1108.0874] [INSPIRE].
I. Antoniadis, P.O. Mazur and E. Mottola, Conformal invariance, dark energy and CMB non-Gaussianity, JCAP09 (2012) 024 [arXiv: 1103 .4164] [INSPIRE].
I. Mata, S. Raju and S. Trivedi, CMB from CFT, JHEP07 (2013) 015 [arXiv:1211.5482] [INSPIRE].
A. Ghosh, N. Kundu, S. Raju and S.P. Trivedi, Conformal invariance and the four point scalar correlator in slow-roll inflation, JHEP07 (2014) 011 [arXiv: 1401.1426] [INSPIRE].
N. Kundu, A. Shukla and S.P. Trivedi, Constraints from conformal symmetry on the three point scalar correlator in inflation, JHEP04 (2015) 061 [arXiv:1410. 2606] [INSPIRE].
E. Pajer, G.L. Pimentel and J.V.S. Van Wijck, The conformal limit of inflation in the era of CMB polarimetry, JCAP06 (2017) 009 [arXiv:1609.06993] [INSPIRE].
N. Arkani-Hamed, D. Baumann, H. Lee and G.L. Pimentel, The cosmological bootstrap: inflationary correlators from symmetries and singularities,
ar Xiv:1811 . 00024 [INSPIRE].
A. Bzowski, P. McFadden and K. Skenderis, Implications of conformal invariance in momentum space, JHEP03 (2014) 111 [arXiv:1304.7760] [INSPIRE].
A. Bzowski, P. McFadden and K. Skenderis, Scalar 3-point functions in CFT: renormalisation, /3-functions and anomalies, JHEP03 (2016) 066 [arXiv:1510.08442] [INSPIRE].
A. Bzowski, P. McFadden and K. Skenderis, Renormalised CFT 3-point functions of scalars, currents and stress tensors, JHEP11 (2018) 159 [arXiv:1805 .12100] [INSPIRE].
H. Isono, T. Noumi and G. Shiu, Momentum space approach to crossing symmetric CFT correlators, JHEP07 (2018) 136 [arXiv:1805 .11107] [INSPIRE].
D. Baumann, G. Goon, H. Lee and G.L. Pimentel, Partially massless fields during inflation, JHEP04 (2018) 140 [arXiv:1712. 06624] [INSPIRE].
Planck collaboration, Planck 2018 results. X. Constraints on inflation,
arXiv: 1807.06211 [INSPIRE].
A. Higuchi, Linearized gravity in de Sitter space-time as a representation ofS0(4, 1), Class. Quant. Grav.8 (1991) 2005 [INSPIRE].
S. Deser and R.I. Nepomechie, Anomalous propagation of gauge fields in conformally fiat spaces, Phys. Lett.B 132 (1983) 321 [INSPIRE].
S. Deser and R.I. Nepomechie, Gauge invariance versus masslessness in de Sitter space, Annals Phys.154 (1984) 396 [INSPIRE].
L.H. Thomas, On unitary representations of the group of d e Sitter space, Ann. Math.42 (1941) 113.
T.D. Newton, A note on the re presentations of the de Sitter group, Ann. Math.51 (1950) 730.
T. Basile, X. Bekaert and N. Boulanger, Mixed-symmetry fields in de Sitter space: a group theoretical glance, JHEP 05 (2017) 081 [arXiv:1612.08166] [INSPIRE].
A. Polishchuk, Massiv e symmetric tensor field on AdS, JHEP07 (1999) 007 [hep-th/9905048] [INSPIRE].
M.S. Costa, J. Penedones, D. Poland and S. Rychkov, Spinning conformal correlators, JHEP11 (2011) 071 [arXiv:1107.3554] [INSPIRE].
P. Benincasa and F. Cachazo, Consistency conditions on the S-matrix of massless particles,
P. Kravchuk and D. Simmons-Duffin, Counting conformal correlators, JHEP02 (2018) 096 [arXiv: 1612 .08987] [INSPIRE].
K. Hinterbichler, A. Joyce and R.A. Rosen, Massive spin-2 scattering and asymptotic superluminality, JHEP03 (2018) 051 [arXiv: 1708 . 05716] [INSPIRE].
J. Bonifacio, K. Hinterbichler, A. Joyce and R.A. Rosen, Massive and massless spin-2 scattering and asymptotic superluminality, JHEP06 (2018) 075 [arXiv:1712 .10020] [INSPIRE].
L. Hui, A. Joyce and S.S.C. Wong, Inflationary soft theorems revisited: a generalized consistency relation, JCAP02 (2019) 060 [arXiv: 1811. 05951] [INSPIRE].
G.L. Pimentel, Inflationary consistency conditions from a wavefunctional perspective, JHEP02 (2014) 124 [arXiv:1309 . 1793] [INSPIRE].
S. Raju, New recursion relations and a fiat space limit for AdS/CFT correlators, Phys. Rev.D 85 (2012) 126009 [arXiv:1201.6449] [INSPIRE].
N. Arkani-Hamed, P. Benincasa and A. Postnikov, Cosmological polytopes and the wave/unction of the universe,
R.C. Myers, Higher derivative gravity, surface terms and string theory, Phys. Rev.D 36 (1987) 392 [INSPIRE].
X. Chen and Y. Wang, Quasi-single field inflation and non-Gaussianities, JCAP04 (2010) 027 [arXiv :0911. 3380] [INSPIRE].
V. Assassi, D. Baumann and D. Green, On soft limits of inflationary correlation functions, JCAP11 (2012) 047 [arXiv: 1204. 4207] [INSPIRE].
T. Noumi, M. Yamaguchi and D. Yokoyama, Effective field theory approach to quasi-single field inflation and effects of heavy fields, JHEP06 (2013) 051 [arXiv: 1211. 1624] [INSPIRE].
L. Bordin, P. Creminelli, M. Mirbabayi and J. Noreña, Tensor squeezed limits and the Higuchi bound, JCAP09 (2016) 041 [arXiv:1605 . 08424] [INSPIRE].
X.O. Camanho, J.D. Edelstein, J. Maldacena and A. Zhiboedov, Causality constraints on corrections to the graviton three-point coupling, JHEP02 (2016) 020 [arXiv: 1407 .5597] [INSPIRE].
J.M. Martín-García, xAct, efficient tensor computer algebra for the Wolfram language,
D. Anninos and F. Denef, Cosmic clustering, JHEP06 (2016) 181 [arXiv:1111. 6061] [INSPIRE].
D. Anninos, T. Anous, D.Z. Freedman and G. Konstantinidis, Late-time structure of the Bunch-Davies de Sitter wave/unction, JCAP11 (2015) 048 [arXiv: 1406 .5490] [INSPIRE].
P. Benincasa, From the fiat-space S-matrix to the wave/unction of the universe,
arXiv: 1811.02515 [INSPIRE].
E. Joung and M. Taronna, Cubic interactions of massless higher spins in ( A ) dS: metric-like approach, Nucl. Phys.B 861 (2012) 145 [arXiv:1110. 5918] [INSPIRE].
K. Skenderis, Lecture notes on holographic renormalization, Class. Quant. Grav.19 (2002) 5849 [hep-th/0209067] [INSPIRE].
F. Arroja and T. Tanaka, A note on the role of the boundary terms for the non-Gaussianity in general k-inflation, JCAP05 (2011) 005 [arXiv:1103.1102] [INSPIRE].
C. Burrage, R.H. Ribeiro and D. Seery, Large slow-roll corrections to the bispectrum of noncanonical inflation, JCAP07 (2011) 032 [arXiv:1103. 4126] [INSPIRE].
D. Seery, Infrared effects in inflationary correlation functions, Class. Quant. Grav.27 (2010) 124005 [arXiv:1005 .1649] [INSPIRE].
D. Seery and J.E. Lidsey, Non-Gaussian inflationary perturbations from the dS/CFT correspondence, JCAP06 (2006) 001 [astro-ph/0604209] [INSPIRE].