Built on

E. Hijano, “Flat space physics from AdS/CFT,”
Original
1905
Earlier work this paper cites.
D. Anninos, D. M. Hofman, and J. Kruthoff, “Charged Quantum Fields in AdS
Original
1906
Earlier work this paper cites.
C. Sleight, “A Mellin Space Approach to Cosmological Correlators,”
Original
1906
Earlier work this paper cites.
C. Sleight and M. Taronna, “Bootstrapping Inflationary Correlators in Mellin Space,”
Original
1907
Earlier work this paper cites.
D. Baumann, C. Duaso Pueyo, A. Joyce, H. Lee, and G. L. Pimentel, “The cosmological bootstrap: weight-shifting operators and scalar seeds,”
Original
1910
Earlier work this paper cites.
V. Gorbenko and L. Senatore, “
Original
1911
Earlier work this paper cites.
G. Sengör and C. Skordis, “Unitarity at the Late time Boundary of de Sitter,”
Original
1912
Earlier work this paper cites.
D. Meltzer, E. Perlmutter, and A. Sivaramakrishnan, “Unitarity Methods in AdS/CFT,”
Original
1912
Earlier work this paper cites.
McGraw-Hill, 1953
H. Bateman, · 1953
Earlier work this paper cites.
M. A. Naimark, “Decomposition of a tensor product of irreducible representations of the proper Lorentz group into irreducible representations. I. The case of a tensor product of representations of the fundamental series,”
1959
Earlier work this paper cites.
M. A. Naimark, “Decomposition of a tensor product of irreducible representations of the proper lorentz group into irreducible representations. iii. the case of a tensor product of representations of the supplementary series,”
1961
Earlier work this paper cites.
M. Luscher and G. Mack, “Global Conformal Invariance in Quantum Field Theory,”
1975
Earlier work this paper cites.
V. K. Dobrev, G. Mack, I. T. Todorov, V. B. Petkova, and S. G. Petrova, “On the Clebsch-Gordan Expansion for the Lorentz Group in n Dimensions,”
1976
Earlier work this paper cites.
Springer, 1977
V. Dobrev, G. Mack, V. Petkova, S. Petrova, and I. Todorov, · 1977
Earlier work this paper cites.
J. Repka, “Tensor Products of Unitary Representations of SL
1978
Earlier work this paper cites.
R. P. Martin, “Tensor Products of Principal Series for the DeSitter Group,”
1981
Earlier work this paper cites.
Princeton University Press, 1986
A. W. Knapp, · 1986
Earlier work this paper cites.
Springer, 1991
N. J. Vilenkin and A. U. Klimyk, · 1991
Earlier work this paper cites.
J. Bros, “Complexified de Sitter space: Analytic causal kernels and Kallen-Lehmann type representation,”
1991
Earlier work this paper cites.
Springer, 1992
R. E. Howe and E. C. Tan, · 1992
Earlier work this paper cites.
D. M. McAvity and H. Osborn, “Conformal field theories near a boundary in general dimensions,”
1995
Earlier work this paper cites.
J. Bros and U. Moschella, “Two point functions and quantum fields in de Sitter universe,”
1996
Earlier work this paper cites.
S. Hollands, “Massless interacting quantum fields in deSitter spacetime,”
Original
1996
Earlier work this paper cites.
J. Bros, H. Epstein, and U. Moschella, “Analyticity properties and thermal effects for general quantum field theory on de Sitter space-time,”
1998
Earlier work this paper cites.
H. Liu and A. A. Tseytlin, “On four point functions in the CFT / AdS correspondence,”
1999
Earlier work this paper cites.
D. Z. Freedman, S. D. Mathur, A. Matusis, and L. Rastelli, “Comments on 4 point functions in the CFT / AdS correspondence,”
1999
Earlier work this paper cites.
Cambridge University Press, Cambridge, 1999
G. Andrews, R. Askey, and R. Roy, · 1999
Earlier work this paper cites.
10, 2001
M. Spradlin, A. Strominger, and A. Volovich, “Les Houches lectures on de Sitter space,” in · 2001
Earlier work this paper cites.

Similar

A. Strominger, “The dS / CFT correspondence,”
2001
Cited alongside, same era.
J. M. Maldacena, “Non-Gaussian features of primordial fluctuations in single field inflationary models,”
2003
Cited alongside, same era.
L. J. Boya, E. C. G. Sudarshan, and T. Tilma, “Volumes of compact manifolds,”
2003
Cited alongside, same era.
D. Baumann, C. Duaso Pueyo, A. Joyce, H. Lee, and G. L. Pimentel, “The Cosmological Bootstrap: Spinning Correlators from Symmetries and Factorization,”
Original
2005
Cited alongside, same era.
M. Correia, A. Sever, and A. Zhiboedov, “An Analytical Toolkit for the S-matrix Bootstrap,”
Original
2006
Cited alongside, same era.

Then

S. Hollands, “Correlators, Feynman diagrams, and quantum no-hair in deSitter spacetime,”
Original
2013
Later among the works it cites.
D. Marolf, I. A. Morrison, and M. Srednicki, “Perturbative S-matrix for massive scalar fields in global de Sitter space,”
Original
2013
Later among the works it cites.
M. Hogervorst and S. Rychkov, “Radial Coordinates for Conformal Blocks,”
Original
2013
Later among the works it cites.
A. L. Fitzpatrick, J. Kaplan, D. Poland, and D. Simmons-Duffin, “The Analytic Bootstrap and AdS Superhorizon Locality,”
Original
2013
Later among the works it cites.
Z. Komargodski and A. Zhiboedov, “Convexity and Liberation at Large Spin,”
Original

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…

2021

Towards the non-perturbative cosmological bootstrap

Hogervorst, Matthijs, Penedones, João, Vaziri, Kamran Salehi

Understand

We study quantum field theory on a de Sitter spacetime dS$_{d+1}$ background.

Our main tool is the Hilbert space decomposition in irreducible unitary representations of its isometry group $SO(d+1,1)$.
As the first application of the Hilbert space formalism, we recover the K\"allen-Lehmann spectral decomposition of the scalar bulk two-point function.
In the process, we exhibit a relation between poles in the corresponding spectral densities and the boundary CFT data.

Built on

E. Hijano, “Flat space physics from AdS/CFT,”
Original
1905
Earlier work this paper cites.
D. Anninos, D. M. Hofman, and J. Kruthoff, “Charged Quantum Fields in AdS
Original
1906
Earlier work this paper cites.
C. Sleight, “A Mellin Space Approach to Cosmological Correlators,”
Original
1906
Earlier work this paper cites.
C. Sleight and M. Taronna, “Bootstrapping Inflationary Correlators in Mellin Space,”
Original
1907
Earlier work this paper cites.
D. Baumann, C. Duaso Pueyo, A. Joyce, H. Lee, and G. L. Pimentel, “The cosmological bootstrap: weight-shifting operators and scalar seeds,”
Original
1910
Earlier work this paper cites.
V. Gorbenko and L. Senatore, “
Original
1911
Earlier work this paper cites.
G. Sengör and C. Skordis, “Unitarity at the Late time Boundary of de Sitter,”
Original
1912
Earlier work this paper cites.
D. Meltzer, E. Perlmutter, and A. Sivaramakrishnan, “Unitarity Methods in AdS/CFT,”
Original
1912
Earlier work this paper cites.
McGraw-Hill, 1953
H. Bateman, · 1953
Earlier work this paper cites.
M. A. Naimark, “Decomposition of a tensor product of irreducible representations of the proper Lorentz group into irreducible representations. I. The case of a tensor product of representations of the fundamental series,”
1959
Earlier work this paper cites.
M. A. Naimark, “Decomposition of a tensor product of irreducible representations of the proper lorentz group into irreducible representations. iii. the case of a tensor product of representations of the supplementary series,”
1961
Earlier work this paper cites.
M. Luscher and G. Mack, “Global Conformal Invariance in Quantum Field Theory,”
1975
Earlier work this paper cites.
V. K. Dobrev, G. Mack, I. T. Todorov, V. B. Petkova, and S. G. Petrova, “On the Clebsch-Gordan Expansion for the Lorentz Group in n Dimensions,”
1976
Earlier work this paper cites.
Springer, 1977
V. Dobrev, G. Mack, V. Petkova, S. Petrova, and I. Todorov, · 1977
Earlier work this paper cites.
J. Repka, “Tensor Products of Unitary Representations of SL
1978
Earlier work this paper cites.
R. P. Martin, “Tensor Products of Principal Series for the DeSitter Group,”
1981
Earlier work this paper cites.
Princeton University Press, 1986
A. W. Knapp, · 1986
Earlier work this paper cites.
Springer, 1991
N. J. Vilenkin and A. U. Klimyk, · 1991
Earlier work this paper cites.
J. Bros, “Complexified de Sitter space: Analytic causal kernels and Kallen-Lehmann type representation,”
1991
Earlier work this paper cites.
Springer, 1992
R. E. Howe and E. C. Tan, · 1992
Earlier work this paper cites.
D. M. McAvity and H. Osborn, “Conformal field theories near a boundary in general dimensions,”
1995
Earlier work this paper cites.
J. Bros and U. Moschella, “Two point functions and quantum fields in de Sitter universe,”
1996
Earlier work this paper cites.
S. Hollands, “Massless interacting quantum fields in deSitter spacetime,”
Original
1996
Earlier work this paper cites.
J. Bros, H. Epstein, and U. Moschella, “Analyticity properties and thermal effects for general quantum field theory on de Sitter space-time,”
1998
Earlier work this paper cites.
H. Liu and A. A. Tseytlin, “On four point functions in the CFT / AdS correspondence,”
1999
Earlier work this paper cites.
D. Z. Freedman, S. D. Mathur, A. Matusis, and L. Rastelli, “Comments on 4 point functions in the CFT / AdS correspondence,”
1999
Earlier work this paper cites.
Cambridge University Press, Cambridge, 1999
G. Andrews, R. Askey, and R. Roy, · 1999
Earlier work this paper cites.
10, 2001
M. Spradlin, A. Strominger, and A. Volovich, “Les Houches lectures on de Sitter space,” in · 2001
Earlier work this paper cites.

Similar

A. Strominger, “The dS / CFT correspondence,”
2001
Cited alongside, same era.
J. M. Maldacena, “Non-Gaussian features of primordial fluctuations in single field inflationary models,”
2003
Cited alongside, same era.
L. J. Boya, E. C. G. Sudarshan, and T. Tilma, “Volumes of compact manifolds,”
2003
Cited alongside, same era.
D. Baumann, C. Duaso Pueyo, A. Joyce, H. Lee, and G. L. Pimentel, “The Cosmological Bootstrap: Spinning Correlators from Symmetries and Factorization,”
Original
2005
Cited alongside, same era.
M. Correia, A. Sever, and A. Zhiboedov, “An Analytical Toolkit for the S-matrix Bootstrap,”
Original
2006
Cited alongside, same era.