Pith. sign in

REVIEW 2 major objections 3 minor 4 cited by

This paper shows that late-time correlators of gauge fields and gravitons in de Sitter space can be rewritten exactly as sums of Euclidean AdS Witten diagrams, with sinusoidal coefficients.

Reviewed by Pith at T0; open to challenge. T0 means a machine referee read the full paper against a public rubric. the ladder, T0–T4 →

Challenge this review Re-run · record.json Download PDF Read on arXiv ↗

Gauge and gravitational late-time correlators in de Sitter are mapped to EAdS Witten diagrams, with new Mellin-space propagators and a treatment of even boundary dimensions.

T0 review reviewed 2026-08-04 challenge →

load-bearing objection Useful extension of the dS/EAdS map to spin-1 and spin-2, but the even-dimension limit in Section 3.4 is asserted rather than proven and is load-bearing for the advertised Feynman rules. the 2 major comments →

arxiv 2509.09536 v3 pith:WU5KL3QO submitted 2025-09-11 hep-th

Cosmological Correlators in Gauge Theory and Gravity from EAdS

Md. Abhishek , Charlotte Sleight , Massimo Taronna This is my paper
classification hep-th
keywords cosmological correlatorsde Sitter spaceEuclidean AdSWitten diagramsSchwinger-Keldysh formalismMellin spacegauge bosonsgravitons
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved

The pith

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The reading

This paper claims that the late-time (Schwinger-Keldysh) correlators of scalar QED, pure Yang–Mills theory, and Einstein gravity in de Sitter space can be rewritten exactly as linear combinations of Euclidean AdS Witten diagrams. The map turns each dS propagator into a pair of EAdS propagators with shadow scaling dimensions, with the branch structure of the in-in contour producing sinusoidal prefactors. The authors work out the Mellin-space forms of gauge and graviton propagators, including longitudinal components, and give explicit Feynman rules for the three theories. They also address the technical case of even boundary dimensions, where the naive decomposition diverges, and show how to regulate it with an EAdS harmonic function. If correct, this gives a practical way to compute cosmological correlators of massless fields using standard AdS/CFT diagrammatics.

Core claim

Starting from the observation that de Sitter and Euclidean AdS share the same isometry group and are related by double Wick rotation, the paper establishes a perturbative equivalence: any late-time correlator in the Bunch–Davies vacuum can be expressed as a sum over EAdS Witten diagrams for the shadow pair of scaling dimensions Delta±, with coefficients given by trigonometric functions. For scalar QED, pure Yang–Mills, and Einstein gravity, the paper gives explicit propagator and vertex rules in axial/temporal gauge. In even boundary dimensions, where the coefficient c_dS-AdS diverges, the paper shows how the divergence cancels against a homogeneous EAdS harmonic function, yielding finite an

What carries the argument

The central object is the Mellin-space representation of bulk-to-bulk and bulk-to-boundary propagators in (EA)dS, which diagonalizes dilatations and makes the analytic continuation between the two spaces manifest. The key identity is the decomposition of each Schwinger–Keldysh propagator into two EAdS propagators with shadow dimensions Delta± (equations 2.13, 3.45, 3.57), together with the phase factors that combine into sinusoidal prefactors at the level of amplitudes. For even boundary dimensions, the machinery is extended by the EAdS harmonic function Omega_AdS_nu, which supplies the finite correction where the coefficient c_dS-AdS diverges.

Load-bearing premise

For massless fields in even boundary dimensions, the treatment assumes that the EAdS harmonic function Omega_AdS_nu vanishes identically at nu = -i n and that the product Gamma(-i nu) Omega_AdS_nu provides the required finite correction; this property is asserted but not proven in the paper.

What would settle it

A direct numerical computation of a four-point exchange diagram in dS Yang-Mills in, say, d=4, evaluated both via the Schwinger-Keldysh integral and via the proposed EAdS combination, should agree exactly. A mismatch in any partial wave or a failure of the sine-factor selection rule would falsify the map.

Watch this falsifier. Get emailed when new claim-graph text bears on it.

If this is right

  • Late-time correlators of gauge fields and gravitons can be computed by standard EAdS Witten diagram techniques, including Mellin space and bootstrap methods.
  • The sinusoidal prefactors act as selection rules: for certain combinations of late-time falloffs, the non-local part of the correlator vanishes, simplifying the calculation.
  • Even in even boundary dimensions, where the naive dS-to-EAdS decomposition diverges, the rules give finite results, extending the framework to all d.
  • The Mellin-space forms of the gauge and graviton propagators, including longitudinal components, provide a convenient basis for checking Ward identities and studying IR divergences.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • The same harmonic-function regularization for even d may apply to other massless fields (e.g., higher-spin gauge fields) that sit at the exceptional-series boundary.
  • The selection rules suggest that many dS correlators in these theories are purely local (IR counterterms) after renormalization, which could simplify inflationary predictions.
  • The equivalence implies that the analytic structure of dS late-time correlators matches that of EAdS boundary correlators, so conformal partial wave expansions and crossing may apply directly.
  • One could test the framework by explicitly computing a known dS correlator (e.g., the three-graviton contact diagram in even d) via direct Schwinger-Keldysh integration and comparing with the EAdS rule.
Share X Bluesky LinkedIn Reddit HN

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit.

Referee Report

2 major / 3 minor

Summary. The paper develops the perturbative map between late-time dS correlators and EAdS Witten diagrams for gauge bosons and gravitons, building on the authors' prior framework. Working in Mellin space, it derives dS and EAdS bulk-to-bulk and bulk-to-boundary propagators for spin-1 and spin-2 fields in axial/temporal gauge, including longitudinal components, and verifies them against Raju's representation. It then gives explicit EAdS Feynman rules for scalar QED, pure Yang-Mills, and Einstein gravity, with sinusoidal prefactors, and illustrates them on contact and tree-level exchange diagrams. A section addresses massless representations in even boundary dimensions, where the standard dS-AdS coefficient diverges.

Significance. If correct, the paper would reduce spinning cosmological correlator computations to standard AdS/CFT diagrammatics, and the Mellin-space representation of full propagators (including longitudinal parts) is a useful technical contribution. The derivation is parameter-free and the Mellin expressions are benchmarked against known representations; selection rules for falloffs follow from the sinusoidal prefactors. However, the even-dimensional limit is the pivot of the new rules, and the evidence for it is currently incomplete, so the result is conditional.

major comments (2)
  1. [Section 3.4, Eqs. (3.60)-(3.63) and footnote 9] The even-d treatment rests on three assertions: (i) Omega^{AdS}_nu vanishes at nu=-in; (ii) Gamma(-i nu) Omega^{AdS}_nu is finite and nonzero; (iii) after inserting (3.61) into (2.13), the divergent c^{dS-AdS}_{d/2+n} cancels. The text cites representation (A.3) for (i) and states (ii)-(iii) without proof. From (A.3) and (3.12b), Omega=0 follows from the factor 1/Gamma(1-n) in K^{AdS}_{d/2-n}, but extracting the finite value of Gamma(-i nu)Omega requires a matched epsilon-expansion around nu=-in that is not given. Since equations (4.3)-(4.7), (5.4)-(5.6), (6.4)-(6.6) inherit this limit, every even-d gauge/gravity diagram is conditional on this point. Please provide the explicit nu=-in+epsilon expansion and a derivation of (3.61).
  2. [Section 2, Eq. (2.18)] The statement that on-shell factorization gives the sinusoidal coefficients 'both at tree and loop level' is not demonstrated for the new gauge/gravity rules. All explicit checks in Sections 4-6 are tree-level contact or exchange. The loop-level factorization may follow from [1,2] for generic spins, but the even-d modifications of Section 3.4 have no loop-level check, so the 'any perturbative contribution' claim is stronger than the evidence presented. A one-loop check (or a proof that the Section 3.4 limit commutes with the Mellin sums in loops) would close the gap.
minor comments (3)
  1. [Eq. (3.60)] Both sides read omega_{-in}; presumably the second factor should be omega_{+in} (or omega_{in}), otherwise the equality is a tautology.
  2. [Eq. (6.5)] The right-hand side has K^{AdS d/2-i nu}; comparing with (3.58), (4.4), and (5.5), the superscript should be d/2+i nu.
  3. [Section 4, after Eq. (4.11)] 'sinusodial' should be 'sinusoidal'.

Circularity Check

0 steps flagged

No significant circularity: the dS-to-EAdS map is imported from parameter-free prior work, and the new gauge/gravity rules are derived by comparing Mellin-space propagators rather than by fitting or by definition.

full rationale

The paper's central derivation is self-contained in the relevant sense. The dS-to-EAdS relation (2.13)-(2.18) is taken from the same authors' prior work [1,2,40,41], but those are parameter-free analytic derivations with stated assumptions, and they do not define the new gauge/gravity output in terms of themselves. The new propagator relations for gauge bosons and gravitons, (3.45) and (3.57), are obtained by comparing explicitly written Mellin-space solutions of the (EA)dS equations of motion, e.g. the EAdS gauge-boson propagator (3.37) with the dS Schwinger-Keldysh propagator (3.44); the bulk-to-boundary relations follow from the same asymptotic expansions. The Feynman rules (4.3)-(4.7), (5.4)-(5.6), and (6.4)-(6.6) are algebraic consequences of those propagator identities together with the branch rotations (2.11) and vertex phases (2.15)-(2.16). No fitted parameter is renamed as a prediction, and no quantity is defined in terms of what is subsequently claimed to be derived. The most delicate step, Section 3.4 for ν ∈ -iN, is asserted rather than fully proven: equations (3.61)-(3.63) and footnote 9 state that Ω^{AdS}_ν vanishes for ν ∈ -iN and that Γ(-iν)Ω^{AdS}_ν supplies the finite nonzero remainder after the divergence in c^{dS-AdS} cancels, but the limiting procedure is not carried out. This is a missing proof or correctness risk, not a circularity: the dS propagators themselves are finite, and the asserted identity, if correct, is an independent analytic fact rather than an input used to define the advertised Feynman rules. Self-citations to [1,2] are load-bearing but real evidence of prior derivation, not an unverified uniqueness theorem or ansatz smuggled in by citation. Overall, no step reduces by construction to its own input.

Axiom & Free-Parameter Ledger

0 free parameters · 5 axioms · 0 invented entities

The central derivation rests on the authors' prior dS-to-EAdS framework, the Bunch-Davies vacuum, and standard Mellin-space technology. No fitted parameters are used. The two ad hoc assumptions are the even-dimension harmonic-function limit and loop-level factorization, both asserted rather than proven in this text.

axioms (5)
  • domain assumption The general dS-to-EAdS map (2.13)-(2.14) for integer-spin propagators, including phases (2.15)-(2.16), is valid for all spins.
    Taken from the authors' prior work [1,2,40,41] without re-derivation; the new rules for gauge and gravity build directly on it.
  • domain assumption Bunch-Davies i epsilon prescription and the Wick rotation eta = iz with branch-specific contour deformation (2.11).
    Standard field-theoretic input for late-time de Sitter correlators; not re-derived in this paper.
  • standard math EAdS propagators admit the harmonic-function decomposition (A.1)-(A.3).
    Uniform asymptotic and complex analysis result invoked for Mellin transforms; cited from [24,61,41,2].
  • ad hoc to paper The EAdS harmonic function Omega^{AdS}_nu vanishes for nu in -iN and Gamma(-i nu) Omega^{AdS}_nu is finite and nonzero.
    This is the load-bearing premise of Section 3.4; only a terse assertion with footnote 9 is given and it is the paper's own limiting prescription.
  • ad hoc to paper On-shell factorization fixes the loop-level sinusoidal coefficients from the contact coefficients.
    Claimed after (2.18) for tree and loop level without a proof or a loop-level example.

reviewed 2026-08-04 · how reviews work

0 comments
Cite this review

Pith. "Pith review of Cosmological Correlators in Gauge Theory and Gravity from EAdS." pith.science (2026). https://pith.science/paper/WU5KL3QO

@misc{pith2026250909536,
  author       = {Pith},
  title        = {Pith review of: Cosmological Correlators in Gauge Theory and Gravity from EAdS},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/WU5KL3QO}},
  note         = {Machine review of arXiv:2509.09536}
}
Share X Bluesky LinkedIn Reddit HN
read the original abstract

In this work we examine in more detail the map between late-time correlators in de Sitter space and boundary correlators in Euclidean anti-de Sitter space, elaborating on the general construction presented in arXiv:2007.09993 and arXiv:2109.02725 for EFTs of bosonic spinning fields. This map may be phrased as an equivalence between the generating functional of late-time correlators in the Schwinger--Keldysh formalism and the generating functional for boundary correlators in the corresponding EAdS theory. We extend the construction to gauge bosons and gravitons, and clarify additional subtleties that appear in even boundary dimensions. We give the resulting EAdS Feynman rules for scalar QED, pure Yang--Mills theory and Einstein gravity in dS space, illustrating them with contact and tree-level exchange diagrams. The sinusoidal factors relating dS and EAdS diagrams lead to selection rules for late-time falloffs, with possible residual local terms only in IR-divergent cases. Finally, we emphasise that the relation between dS and EAdS propagators is manifest in Mellin space, and we provide new expressions for gauge-boson and graviton propagators in axial/temporal gauge, including their longitudinal components. These results provide a practical framework for studying cosmological correlators involving gauge fields and gravitons.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Propagator positivity bounds for cosmological correlators

    hep-th 2025-12 conditional novelty 7.0

    An infinite tower of two-sided positivity bounds constrains the EFT coefficients of heavy fields on de Sitter, ruling out correlators with no unitary/causal UV completion.

  2. Bulk-to-bulk photon propagator in AdS

    hep-th 2025-10 conditional novelty 6.0

    The bulk-to-bulk photon propagator in Euclidean AdS is derived in axial, Coulomb and covariant gauges, with the simplest position-space form in the Fried–Yennie gauge ξ=d/(d−2).

  3. Cosmological Cutting Rules from Flat-Space Unitarity via Dressing

    hep-th 2026-01 conditional novelty 5.0

    Flat-space Cutkosky cuts, after cosmological dressing and analytic continuation, become the Disc operations appearing in dS/EAdS cosmological cutting rules.

  4. Bulk-to-bulk photon propagator in AdS

    hep-th 2025-10 unverdicted novelty 5.0

    Derives photon bulk-to-bulk propagators in AdS in multiple gauges by tensor decomposition and form-factor solution, recovering prior results and adding new expressions with improved IR behavior in Fried-Yennie gauge.

Reference graph

Works this paper leans on

64 extracted references · 54 linked inside Pith · cited by 3 Pith papers

  1. [1]

    Sleight and M

    C. Sleight and M. Taronna,From AdS to dS exchanges: Spectral representation, Mellin amplitudes, and crossing,Phys. Rev. D104(2021) L081902 [2007.09993]

    Pith/arXiv arXiv 2021

  2. [2]

    Sleight and M

    C. Sleight and M. Taronna,From dS to AdS and back,JHEP12(2021) 074 [2109.02725]

    Pith/arXiv arXiv 2021

  3. [3]

    Strominger,The dS / CFT correspondence,JHEP10(2001) 034 [hep-th/0106113]

    A. Strominger,The dS / CFT correspondence,JHEP10(2001) 034 [hep-th/0106113]

    Pith/arXiv arXiv 2001

  4. [4]

    J. M. Maldacena,Non-Gaussian features of primordial fluctuations in single field inflationary models,JHEP05(2003) 013 [astro-ph/0210603]

    Pith/arXiv arXiv 2003

  5. [5]

    McFadden and K

    P. McFadden and K. Skenderis,Holography for Cosmology,Phys. Rev.D81(2010) 021301 [0907.5542]. – 35 –

    Pith/arXiv arXiv 2010

  6. [6]

    McFadden and K

    P. McFadden and K. Skenderis,Holographic Non-Gaussianity,JCAP1105(2011) 013 [1011.0452]

    Pith/arXiv arXiv 2011

  7. [7]

    McFadden and K

    P. McFadden and K. Skenderis,Cosmological 3-point correlators from holography,JCAP 1106(2011) 030 [1104.3894]

    Pith/arXiv arXiv 2011

  8. [8]

    Bzowski, P

    A. Bzowski, P. McFadden and K. Skenderis,Holographic predictions for cosmological 3-point functions,JHEP03(2012) 091 [1112.1967]

    Pith/arXiv arXiv 2012

  9. [9]

    Antoniadis, P

    I. Antoniadis, P. O. Mazur and E. Mottola,Conformal Invariance, Dark Energy, and CMB Non-Gaussianity,JCAP1209(2012) 024 [1103.4164]

    Pith/arXiv arXiv 2012

  10. [10]

    J. M. Maldacena and G. L. Pimentel,On graviton non-Gaussianities during inflation,JHEP 09(2011) 045 [1104.2846]

    Pith/arXiv arXiv 2011

  11. [11]

    Creminelli,Conformal invariance of scalar perturbations in inflation,Phys

    P. Creminelli,Conformal invariance of scalar perturbations in inflation,Phys. Rev.D85 (2012) 041302 [1108.0874]

    Pith/arXiv arXiv 2012

  12. [12]

    Kehagias and A

    A. Kehagias and A. Riotto,Operator Product Expansion of Inflationary Correlators and Conformal Symmetry of de Sitter,Nucl. Phys. B864(2012) 492 [1205.1523]

    Pith/arXiv arXiv 2012

  13. [13]

    Kehagias and A

    A. Kehagias and A. Riotto,The Four-point Correlator in Multifield Inflation, the Operator Product Expansion and the Symmetries of de Sitter,Nucl. Phys. B868(2013) 577 [1210.1918]

    Pith/arXiv arXiv 2013

  14. [14]

    Schalm, G

    K. Schalm, G. Shiu and T. van der Aalst,Consistency condition for inflation from (broken) conformal symmetry,JCAP1303(2013) 005 [1211.2157]

    Pith/arXiv arXiv 2013

  15. [15]

    Bzowski, P

    A. Bzowski, P. McFadden and K. Skenderis,Holography for inflation using conformal perturbation theory,JHEP04(2013) 047 [1211.4550]

    Pith/arXiv arXiv 2013

  16. [16]

    I. Mata, S. Raju and S. Trivedi,CMB from CFT,JHEP07(2013) 015 [1211.5482]

    Pith/arXiv arXiv 2013

  17. [17]

    Bzowski, P

    A. Bzowski, P. McFadden and K. Skenderis,Implications of conformal invariance in momentum space,JHEP03(2014) 111 [1304.7760]

    Pith/arXiv arXiv 2014

  18. [18]

    Ghosh, N

    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 [1401.1426]

    Pith/arXiv arXiv 2014

  19. [19]

    Kundu, A

    N. Kundu, A. Shukla and S. P. Trivedi,Constraints from Conformal Symmetry on the Three Point Scalar Correlator in Inflation,JHEP04(2015) 061 [1410.2606]

    Pith/arXiv arXiv 2015

  20. [20]

    Arkani-Hamed and J

    N. Arkani-Hamed and J. Maldacena,Cosmological Collider Physics,1503.08043

    Pith/arXiv arXiv

  21. [21]

    Shukla, S

    A. Shukla, S. P. Trivedi and V. Vishal,Symmetry constraints in inflation,α-vacua, and the three point function,JHEP12(2016) 102 [1607.08636]

    Pith/arXiv arXiv 2016

  22. [22]

    Arkani-Hamed, D

    N. Arkani-Hamed, D. Baumann, H. Lee and G. L. Pimentel,The Cosmological Bootstrap: Inflationary Correlators from Symmetries and Singularities,JHEP04(2020) 105 [1811.00024]

    Pith/arXiv arXiv 2020

  23. [23]

    J. Bros, U. Moschella and J. P. Gazeau,Quantum field theory in the de Sitter universe,Phys. Rev. Lett.73(1994) 1746

    1994

  24. [24]

    Bros and U

    J. Bros and U. Moschella,Two point functions and quantum fields in de Sitter universe,Rev. Math. Phys.8(1996) 327 [gr-qc/9511019]

    Pith/arXiv arXiv 1996

  25. [25]

    Moschella,The Spectral Condition, Plane Waves, and Harmonic Analysis in de Sitter and Anti-de Sitter Quantum Field Theories,Universe10(2024) 199 [2403.15893]

    U. Moschella,The Spectral Condition, Plane Waves, and Harmonic Analysis in de Sitter and Anti-de Sitter Quantum Field Theories,Universe10(2024) 199 [2403.15893]

    Pith/arXiv arXiv 2024

  26. [26]

    Harlow and D

    D. Harlow and D. Stanford,Operator Dictionaries and Wave Functions in AdS/CFT and – 36 – dS/CFT,1104.2621

    Pith/arXiv arXiv

  27. [27]

    Anninos, T

    D. Anninos, T. Anous, D. Z. Freedman and G. Konstantinidis,Late-time Structure of the Bunch-Davies De Sitter Wavefunction,JCAP1511(2015) 048 [1406.5490]

    Pith/arXiv arXiv 2015

  28. [28]

    Schaub,Spinors in (Anti-)de Sitter Space,JHEP09(2023) 142 [2302.08535]

    V. Schaub,Spinors in (Anti-)de Sitter Space,JHEP09(2023) 142 [2302.08535]

    Pith/arXiv arXiv 2023

  29. [29]

    A. J. Chopping, C. Sleight and M. Taronna,Cosmological correlators for Bogoliubov initial states,JHEP09(2024) 152 [2407.16652]

    Pith/arXiv arXiv 2024

  30. [30]

    Hogervorst, J

    M. Hogervorst, J. Penedones and K. S. Vaziri,Towards the non-perturbative cosmological bootstrap,JHEP02(2023) 162 [2107.13871]

    Pith/arXiv arXiv 2023

  31. [31]

    Di Pietro, V

    L. Di Pietro, V. Gorbenko and S. Komatsu,Analyticity and unitarity for cosmological correlators,JHEP03(2022) 023 [2108.01695]

    arXiv 2022

  32. [32]

    Bissi and S

    A. Bissi and S. Sarkar,A constructive solution to the cosmological bootstrap,JHEP09 (2023) 115 [2305.08939]

    Pith/arXiv arXiv 2023

  33. [33]

    Loparco, J

    M. Loparco, J. Penedones, K. Salehi Vaziri and Z. Sun,The K¨ all´ en-Lehmann representation in de Sitter spacetime,JHEP12(2023) 159 [2306.00090]

    Pith/arXiv arXiv 2023

  34. [34]

    Werth,Spectral representation of cosmological correlators,JHEP12(2024) 017 [2409.02072]

    D. Werth,Spectral representation of cosmological correlators,JHEP12(2024) 017 [2409.02072]

    Pith/arXiv arXiv 2024

  35. [35]

    P. Dey, Z. Huang and A. Lipstein,de Sitter locality from conformal field theory,2508.15627

    Pith/arXiv arXiv

  36. [36]

    Heckelbacher, I

    T. Heckelbacher, I. Sachs, E. Skvortsov and P. Vanhove,Analytical evaluation of cosmological correlation functions,JHEP08(2022) 139 [2204.07217]

    Pith/arXiv arXiv 2022

  37. [37]

    Chowdhury, A

    C. Chowdhury, A. Lipstein, J. Mei, I. Sachs and P. Vanhove,The subtle simplicity of cosmological correlators,JHEP03(2025) 007 [2312.13803]

    Pith/arXiv arXiv 2025

  38. [38]

    Chowdhury, A

    C. Chowdhury, A. Lipstein, J. Marshall, J. Mei and I. Sachs,Cosmological Dressing Rules, 2503.10598

    arXiv

  39. [39]

    Nowinski and I

    M. Nowinski and I. Sachs,Resummation of Cosmological Correlators and their UV-Regularization,2507.21224

    Pith/arXiv arXiv

  40. [40]

    Sleight,A Mellin Space Approach to Cosmological Correlators,JHEP01(2020) 090 [1906.12302]

    C. Sleight,A Mellin Space Approach to Cosmological Correlators,JHEP01(2020) 090 [1906.12302]

    Pith/arXiv arXiv 2020

  41. [41]

    Sleight and M

    C. Sleight and M. Taronna,Bootstrapping Inflationary Correlators in Mellin Space,JHEP 02(2020) 098 [1907.01143]

    Pith/arXiv arXiv 2020

  42. [42]

    Bernardeau, T

    F. Bernardeau, T. Brunier and J.-P. Uzan,High order correlation functions for self interacting scalar field in de Sitter space,Phys. Rev.D69(2004) 063520 [astro-ph/0311422]

    Pith/arXiv arXiv 2004

  43. [43]

    Weinberg,Quantum contributions to cosmological correlations,Phys

    S. Weinberg,Quantum contributions to cosmological correlations,Phys. Rev.D72(2005) 043514 [hep-th/0506236]

    Pith/arXiv arXiv 2005

  44. [44]

    X. Chen, Y. Wang and Z.-Z. Xianyu,Schwinger-Keldysh Diagrammatics for Primordial Perturbations,JCAP1712(2017) 006 [1703.10166]

    Pith/arXiv arXiv 2017

  45. [45]

    N. A. Chernikov and E. A. Tagirov,Quantum theory of scalar fields in de Sitter space-time, Ann. Inst. H. Poincare Phys. Theor. A9(1968) 109

    1968

  46. [46]

    Schomblond and P

    C. Schomblond and P. Spindel,Unicity Conditions of the Scalar Field Propagator Delta(1) (x,y) in de Sitter Universe,Ann. Inst. H. Poincare Phys. Theor.25(1976) 67. – 37 –

    1976

  47. [47]

    G. W. Gibbons and S. W. Hawking,Cosmological Event Horizons, Thermodynamics, and Particle Creation,Phys. Rev.D15(1977) 2738

    1977

  48. [48]

    T. S. Bunch and P. C. W. Davies,Quantum Field Theory in de Sitter Space: Renormalization by Point Splitting,Proc. Roy. Soc. Lond.A360(1978) 117

    1978

  49. [49]

    Taronna,Higher-Spin Interactions: three-point functions and beyond, Ph.D

    M. Taronna,Higher-Spin Interactions: three-point functions and beyond, Ph.D. thesis, Pisa, Scuola Normale Superiore, 2012.1209.5755

    arXiv 2012

  50. [50]

    Goodhew, S

    H. Goodhew, S. Jazayeri and E. Pajer,The Cosmological Optical Theorem,JCAP04(2021) 021 [2009.02898]

    Pith/arXiv arXiv 2021

  51. [51]

    Bzowski, P

    A. Bzowski, P. McFadden and K. Skenderis,Renormalisation of IR divergences and holography in de Sitter,JHEP05(2024) 053 [2312.17316]

    Pith/arXiv arXiv 2024

  52. [52]

    Liu and A

    H. Liu and A. A. Tseytlin,On four point functions in the CFT / AdS correspondence,Phys. Rev. D59(1999) 086002 [hep-th/9807097]

    Pith/arXiv arXiv 1999

  53. [53]

    S. S. Gubser, I. R. Klebanov and A. M. Polyakov,Gauge theory correlators from noncritical string theory,Phys. Lett.B428(1998) 105 [hep-th/9802109]

    Pith/arXiv arXiv 1998

  54. [54]

    Marotta, K

    R. Marotta, K. Skenderis and M. Verma,Flat space spinning massive amplitudes from momentum space CFT,JHEP08(2024) 226 [2406.06447]

    Pith/arXiv arXiv 2024

  55. [55]

    Dobrev, G

    V. Dobrev, G. Mack, V. Petkova, S. Petrova and I. Todorov,Harmonic Analysis on the n-Dimensional Lorentz Group and Its Application to Conformal Quantum Field Theory, vol. 63. 1977, 10.1007/BFb0009678

    doi:10.1007/bfb0009678 1977

  56. [56]

    Basile, X

    T. Basile, X. Bekaert and N. Boulanger,Mixed-symmetry fields in de Sitter space: a group theoretical glance,JHEP05(2017) 081 [1612.08166]

    Pith/arXiv arXiv 2017

  57. [57]

    Srednicki,Quantum field theory

    M. Srednicki,Quantum field theory. Cambridge University Press, 1, 2007, 10.1017/CBO9780511813917

    doi:10.1017/cbo9780511813917 2007

  58. [58]

    Bzowski, P

    A. Bzowski, P. McFadden and K. Skenderis,Scalar 3-point functions in CFT: renormalisation, beta functions and anomalies,JHEP03(2016) 066 [1510.08442]

    Pith/arXiv arXiv 2016

  59. [59]

    Bzowski, P

    A. Bzowski, P. McFadden and K. Skenderis,Renormalised 3-point functions of stress tensors and conserved currents in CFT,JHEP11(2018) 153 [1711.09105]

    Pith/arXiv arXiv 2018

  60. [60]

    Bzowski, P

    A. Bzowski, P. McFadden and K. Skenderis,Renormalised CFT 3-point functions of scalars, currents and stress tensors,JHEP11(2018) 159 [1805.12100]

    Pith/arXiv arXiv 2018

  61. [61]

    Penedones,Writing CFT correlation functions as AdS scattering amplitudes,JHEP03 (2011) 025 [1011.1485]

    J. Penedones,Writing CFT correlation functions as AdS scattering amplitudes,JHEP03 (2011) 025 [1011.1485]

    Pith/arXiv arXiv 2011

  62. [62]

    Sleight and M

    C. Sleight and M. Taronna,Anomalous Dimensions from Crossing Kernels,JHEP11(2018) 089 [1807.05941]

    Pith/arXiv arXiv 2018

  63. [63]

    Raju,BCFW for Witten Diagrams,Phys

    S. Raju,BCFW for Witten Diagrams,Phys. Rev. Lett.106(2011) 091601 [1011.0780]

    Pith/arXiv arXiv 2011

  64. [64]

    Raju,Recursion Relations for AdS/CFT Correlators,Phys

    S. Raju,Recursion Relations for AdS/CFT Correlators,Phys. Rev. D83(2011) 126002 [1102.4724]. – 38 –

    Pith/arXiv arXiv 2011

This paper was first reviewed by deepseek-v4-flash on August 4, 2026.