G.W. Gibbons and S.W. Hawking, Action Integrals and Partition Functions in Quantum Gravity, Phys. Rev. D15 (1977) 2752 [INSPIRE].

G.W. Gibbons and M.J. Perry, Quantizing Gravitational Instantons, Nucl. Phys. B146 (1978) 90 [INSPIRE].

S.M. Christensen and M.J. Duff, Quantizing Gravity with a Cosmological Constant, Nucl. Phys. B170 (1980) 480 [INSPIRE].

E.S. Fradkin and A.A. Tseytlin, One Loop Effective Potential in Gauged O(4) Supergravity, Nucl. Phys. B234 (1984) 472 [INSPIRE].

B. Allen, Phase Transitions in de Sitter Space, Nucl. Phys. B226 (1983) 228 [INSPIRE].

T.R. Taylor and G. Veneziano, Quantum Gravity at Large Distances and the Cosmological Constant, Nucl. Phys. B345 (1990) 210 [INSPIRE].

P.A. Griffin and D.A. Kosower, Curved Space-Time One Loop Gravity in a Physical Gauge, Phys. Lett. B233 (1989) 295 [INSPIRE].

P.O. Mazur and E. Mottola, Absence of phase in the sum over spheres, LA-UR-89-2118.

D.V. Vassilevich, One loop quantum gravity on de Sitter space, Int. J. Mod. Phys. A8 (1993) 1637 [INSPIRE].

Black hole pair creation in de Sitter space: A complete one loop analysis - Volkov, M. S.; Wipf, A. (Nucl. Phys. B, 2000)

D. Anninos, F. Denef, Y.T.A. Law and Z. Sun, Quantum de Sitter horizon entropy from quasicanonical bulk, edge, sphere and topological string partition functions, arXiv:2009.12464 [INSPIRE].

J. Polchinski, The Phase of the Sum Over Spheres, Phys. Lett. B219 (1989) 251 [INSPIRE].

W. Donnelly and A.C. Wall, Unitarity of Maxwell theory on curved spacetimes in the covariant formalism, Phys. Rev. D87 (2013) 125033 [arXiv:1303.1885] [INSPIRE].

G.W. Gibbons, S.W. Hawking and M.J. Perry, Path Integrals and the Indefiniteness of the Gravitational Action, Nucl. Phys. B138 (1978) 141 [INSPIRE].

O. Babelon and C.M. Viallet, The Geometrical Interpretation of the Faddeev-Popov Determinant, Phys. Lett. B85 (1979) 246 [INSPIRE].

P.O. Mazur and E. Mottola, The Gravitational Measure, Solution of the Conformal Factor Problem and Stability of the Ground State of Quantum Gravity, Nucl. Phys. B341 (1990) 187 [INSPIRE].

Z. Bern, E. Mottola and S.K. Blau, General covariance of the path integral for quantum gravity, Phys. Rev. D43 (1991) 1212 [INSPIRE].

S. Giombi, I.R. Klebanov and G. Tarnopolsky, Conformal QEDd, F -Theorem and the𝜖Expansion, J. Phys. A49 (2016) 135403 [arXiv:1508.06354] [INSPIRE].

Cubic-interaction-induced deformations of higher-spin symmetries - Joung, E.; Taronna, M. (JHEP, 2014)

D. Anninos, T. Hartman and A. Strominger, Higher Spin Realization of the dS/CFT Correspondence, Class. Quant. Grav.34 (2017) 015009 [arXiv:1108.5735] [INSPIRE].

D. Anninos, F. Denef and D. Harlow, Wave function of Vasiliev’s universe: A few slices thereof, Phys. Rev. D88 (2013) 084049 [arXiv:1207.5517] [INSPIRE].

Higher Spin de Sitter Holography from Functional Determinants - Anninos, D.; Denef, F.; Konstantinidis, G.; Shaghoulian, E. (JHEP, 2014)

Higher Spin de Sitter Hilbert Space - Anninos, D.; Denef, F.; Monten, R.; Sun, Z. (JHEP, 2019)

M.A. Vasiliev, Consistent equation for interacting gauge fields of all spins in (3+1)-dimensions, Phys. Lett. B243 (1990) 378 [INSPIRE].

Nonlinear equations for symmetric massless higher spin fields in (A)dS(d) - Vasiliev, M. A. (Phys. Lett. B, 2003)

X. Bekaert, S. Cnockaert, C. Iazeolla and M.A. Vasiliev, Nonlinear higher spin theories in various dimensions, in 1st Solvay Workshop on Higher Spin Gauge Theories, (2004), pp. 132–197 [hep-th/0503128] [INSPIRE].

N. Boulanger, P. Kessel, E.D. Skvortsov and M. Taronna, Higher spin interactions in four-dimensions: Vasiliev versus Fronsdal, J. Phys. A49 (2016) 095402 [arXiv:1508.04139] [INSPIRE].

C. Sleight and M. Taronna, Higher-Spin Gauge Theories and Bulk Locality, Phys. Rev. Lett.121 (2018) 171604 [arXiv:1704.07859] [INSPIRE].

Quantum W -symmetry in AdS3 - Gaberdiel, M. R.; Gopakumar, R.; Saha, A. (JHEP, 2011)

Partition Functions for Higher-Spin theories in AdS - Gupta, R. K.; Lal, S. (JHEP, 2012)

One Loop Tests of Higher Spin AdS/CFT - Giombi, S.; Klebanov, I. R. (JHEP, 2013)

S. Giombi, I.R. Klebanov and B.R. Safdi, Higher Spin AdSd+1/CFTdat One Loop, Phys. Rev. D89 (2014) 084004 [arXiv:1401.0825] [INSPIRE].

The ABC of Higher-Spin AdS/CFT - Giombi, S.; Klebanov, I. R.; Tan, Z. M. (Universe, 2018)

Exceptional F (4) higher-spin theory in AdS6at one-loop and other tests of duality - Günaydin, M.; Skvortsov, E. D.; Tran, T. (JHEP, 2016)

Feynman rules for higher-spin gauge fields on AdSd+1 - Sleight, C.; Taronna, M. (JHEP, 2018)

C. Fronsdal, Massless Fields with Integer Spin, Phys. Rev. D18 (1978) 3624 [INSPIRE].

A. Higuchi, Forbidden Mass Range for Spin-2 Field Theory in de Sitter Space-time, Nucl. Phys. B282 (1987) 397 [INSPIRE].

Mixed-symmetry fields in de Sitter space: a group theoretical glance - Basile, T.; Bekaert, X.; Boulanger, N. (JHEP, 2017)

Y.M. Zinoviev, On massive high spin particles in AdS, hep-th/0108192 [INSPIRE].

Shift Symmetries in (Anti) de Sitter Space - Bonifacio, J.; Hinterbichler, K.; Joyce, A.; Rosen, R. A. (JHEP, 2019)

B. Allen, Vacuum States in de Sitter Space, Phys. Rev. D32 (1985) 3136 [INSPIRE].

B. Allen and A. Folacci, The Massless Minimally Coupled Scalar Field in de Sitter Space, Phys. Rev. D35 (1987) 3771 [INSPIRE].

Scalar tachyons in the de Sitter universe - Bros, J.; Epstein, H.; Moschella, U. (Lett. Math. Phys., 2010)

de Sitter tachyons and related topics - Epstein, H.; Moschella, U. (Commun. Math. Phys., 2015)

S. Deser and R.I. Nepomechie, Anomalous Propagation of Gauge Fields in Conformally Flat Spaces, Phys. Lett. B132 (1983) 321 [INSPIRE].

S. Deser and R.I. Nepomechie, Gauge Invariance Versus Masslessness in de Sitter Space, Annals Phys.154 (1984) 396 [INSPIRE].

How massless are massless fields in AdS(d) - Brink, L.; Metsaev, R. R.; Vasiliev, M. A. (Nucl. Phys. B, 2000)

S. Deser and A. Waldron, Gauge invariances and phases of massive higher spins in (A)dS, Phys. Rev. Lett.87 (2001) 031601 [hep-th/0102166] [INSPIRE].

Partial masslessness of higher spins in (A)dS - Deser, S.; Waldron, A. (Nucl. Phys. B, 2001)

Stability of massive cosmological gravitons - Deser, S.; Waldron, A. (Phys. Lett. B, 2001)

Null propagation of partially massless higher spins in (A)dS and cosmological constant speculations - Deser, S.; Waldron, A. (Phys. Lett. B, 2001)

Geometric formulation for partially massless fields - Skvortsov, E. D.; Vasiliev, M. A. (Nucl. Phys. B, 2006)

Manifest Duality for Partially Massless Higher Spins - Hinterbichler, K.; Joyce, A. (JHEP, 2016)

On partition function and Weyl anomaly of conformal higher spin fields - Tseytlin, A. A. (Nucl. Phys. B, 2013)

Weyl anomaly of conformal higher spins on six-sphere - Tseytlin, A. A. (Nucl. Phys. B, 2013)

Partially Massless Higher-Spin Theory - Brust, C.; Hinterbichler, K. (JHEP, 2017)

Partially-massless higher-spin algebras and their finite-dimensional truncations - Joung, E.; Mkrtchyan, K. (JHEP, 2016)

Free □kscalar conformal field theory - Brust, C.; Hinterbichler, K. (JHEP, 2017)

J. Fang and C. Fronsdal, Massless Fields with Half Integral Spin, Phys. Rev. D18 (1978) 3630 [INSPIRE].

E. Sezgin and P. Sundell, Supersymmetric Higher Spin Theories, J. Phys. A46 (2013) 214022 [arXiv:1208.6019] [INSPIRE].

Heat kernel expansion: User’s manual - Vassilevich, D. V. (Phys. Rept., 2003)

Eigenvalues and degeneracies for n-dimensional tensor spherical harmonics - Rubin, M. A.; Ordonez, C. R. (J. Math. Phys., 1984)

A. Higuchi, Symmetric Tensor Spherical Harmonics on the N Sphere and Their Application to the de Sitter Group SO(N ,1), J. Math. Phys.28 (1987) 1553 [Erratum ibid.43 (2002) 6385] [INSPIRE].