Built on

S. Parikh, “Holographic dual of the five-point conformal block,” arXiv:1901.01267 [hep-th]
Original
1901
Earlier work this paper cites.
D. Anninos, V. De Luca, G. Franciolini, A. Kehagias, and A. Riotto, “Cosmological Shapes of Higher-Spin Gravity,” JCAP
Original
1902
Earlier work this paper cites.
H. Isono, T. Noumi, and T. Takeuchi, “Momentum space conformal three-point functions of conserved currents and a general spinning operator,” JHEP
Original
1903
Earlier work this paper cites.
C. Corianò and M. M. Maglio, “On Some Hypergeometric Solutions of the Conformal Ward Identities of Scalar 4-point Functions in Momentum Space,” arXiv:1903.05047 [hep-th]
Original
1903
Earlier work this paper cites.
S. Albayrak, C. Chowdhury, and S. Kharel, “New relation for Witten diagrams,” JHEP
Original
1904
Earlier work this paper cites.
S. Fichet, “Opacity and effective field theory in anti–de Sitter backgrounds,” Phys. Rev
Original
1905
Earlier work this paper cites.
C. B. Jepsen and S. Parikh, “Propagator identities, holographic conformal blocks, and higher-point AdS diagrams,” JHEP
Original
1906
Earlier work this paper cites.
C. Sleight, “A Mellin Space Approach to Cosmological Correlators,” arXiv:1906.12302 [hep-th]
Original
1906
Earlier work this paper cites.
C. Sleight and M. Taronna, “Bootstrapping Inflationary Correlators in Mellin Space,” arXiv:1907.01143 [hep-th]
Original
1907
Earlier work this paper cites.
D. Ponomarev, “From bulk loops to boundary large-N expansion,” arXiv:1908.03974 [hep-th]
Original
1908
Earlier work this paper cites.
H. Isono, T. Noumi, and G. Shiu, “Momentum space approach to crossing symmetric CFT correlators. Part II. General spacetime dimension,” JHEP
Original
1908
Earlier work this paper cites.
S. Albayrak and S. Kharel, “Towards the higher point holographic momentum space amplitudes II: Gravitons,” JHEP
Original
1908
Earlier work this paper cites.
M. Gillioz, “Conformal 3-point functions and the Lorentzian OPE in momentum space,” arXiv:1909.00878 [hep-th]
Original
1909
Earlier work this paper cites.
A. Bzowski, P. McFadden, and K. Skenderis, “Conformal n n -point functions in momentum space,” arXiv:1910.10162 [hep-th]
Original
1910
Earlier work this paper cites.
D. Carmi, “Loops in AdS: From the Spectral Representation to Position Space,” arXiv:1910.14340 [hep-th]
Original
1910
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,” arXiv:1910.14051 [hep-th]
Original
1910
Earlier work this paper cites.
N. Anand, Z. U. Khandker, and M. T. Walters, “Momentum space CFT correlators for Hamiltonian truncation,” arXiv:1911.02573 [hep-th]
Original
1911
Earlier work this paper cites.
J. Penedones, J. A. Silva, and A. Zhiboedov, “Nonperturbative Mellin Amplitudes: Existence, Properties, Applications,” arXiv:1912.11100 [hep-th]
Original
1912
Earlier work this paper cites.
F. Aprile, J. Drummond, P. Heslop, and H. Paul, “One-loop amplitudes in A d S 5 × S 5 AdS_{5}\times S^{5} supergravity from 𝒩 = 4 \mathcal{N}=4 SYM at strong coupling,” arXiv:1912.01047 [hep-th]
Original
1912
Earlier work this paper cites.
D. Meltzer, “AdS/CFT Unitarity at Higher Loops: High-Energy String Scattering,” arXiv:1912.05580 [hep-th]
Original
1912
Earlier work this paper cites.
D. Meltzer, E. Perlmutter, and A. Sivaramakrishnan, “Unitarity Methods in AdS/CFT,” arXiv:1912.09521 [hep-th]
Original
1912
Earlier work this paper cites.
A. Lipstein and P. McFadden, “Double copy structure and the flat space limit of conformal correlators in even dimensions,” arXiv:1912.10046 [hep-th]
Original
1912
Earlier work this paper cites.
B. Nagaraj and D. Ponomarev, “Spinor-Helicity Formalism for Massless Fields in AdS 4 II: Potentials,” arXiv:1912.07494 [hep-th]
Original
1912
Earlier work this paper cites.
A. Hillman, “Symbol Recursion for the dS Wave Function,” arXiv:1912.09450 [hep-th]
Original
1912
Earlier work this paper cites.
G. W. Gibbons and S. W. Hawking, “Action Integrals and Partition Functions in Quantum Gravity,” Phys. Rev
1977
Earlier work this paper cites.
Cambridge Monographs on Mathematical Physics. Cambridge Univ. Press, Cambridge, UK, 1984
N. D. Birrell and P. C. W. Davies, Quantum Fields in Curved Space · 1984
Earlier work this paper cites.
S. Sonego and V. Faraoni, “Coupling to the curvature for a scalar field from the equivalence principle,” Class. Quant. Grav
1993
Earlier work this paper cites.
J. M. Maldacena, “The Large N limit of superconformal field theories and supergravity,” Int. J. Theor. Phys
1998
Earlier work this paper cites.
E. Witten, “Anti-de Sitter space and holography,” Adv. Theor. Math. Phys
1998
Earlier work this paper cites.
S. S. Gubser, I. R. Klebanov, and A. M. Polyakov, “Gauge theory correlators from noncritical string theory,” Phys. Lett
1998
Earlier work this paper cites.

Similar

D. Z. Freedman, S. D. Mathur, A. Matusis, and L. Rastelli, “Comments on 4 point functions in the CFT / AdS correspondence,” Phys. Lett
1999
Cited alongside, same era.
H. Liu and A. A. Tseytlin, “On four point functions in the CFT / AdS correspondence,” Phys. Rev
1999
Cited alongside, same era.
D. Z. Freedman, S. D. Mathur, A. Matusis, and L. Rastelli, “Correlation functions in the CFT(d) / AdS(d+1) correspondence,” Nucl. Phys
1999
Cited alongside, same era.
E. D’Hoker, D. Z. Freedman, and L. Rastelli, “AdS / CFT four point functions: How to succeed at z integrals without really trying,” Nucl. Phys
1999
Cited alongside, same era.
E. D’Hoker, D. Z. Freedman, S. D. Mathur, A. Matusis, and L. Rastelli, “Graviton exchange and complete four point functions in the AdS / CFT correspondence,” Nucl. Phys
1999
Cited alongside, same era.

Then

C. Corianò, L. Delle Rose, E. Mottola, and M. Serino, “Solving the Conformal Constraints for Scalar Operators in Momentum Space and the Evaluation of Feynman’s Master Integrals,” JHEP
Original
2013
Later among the works it cites.
J.-O. Gong, S. Pi, and M. Sasaki, “Equilateral non-Gaussianity from heavy fields,” JCAP
Original
2013
Later among the works it cites.
V. Faraoni, “Conformally coupled inflation,” Galaxies
2013
Later among the works it cites.
M. S. Costa, V. Gonalves, and J. Penedones, “Spinning AdS Propagators,” JHEP
Original
2014
Later among the works it cites.
A. Bzowski, P. McFadden, and K. Skenderis, “Implications of conformal invariance in momentum space,” JHEP
Original
2014

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

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2020

An \'etude of momentum space scalar amplitudes in AdS

Albayrak, Soner, Chowdhury, Chandramouli, Kharel, Savan

Understand

In this paper, we explore momentum space approach to computing scalar amplitudes in Anti-de Sitter space.

We show that the algorithm derived by Arkani-Hamed, Benincasa, and Postnikov for cosmological wavefunctions can be straightforwardly adopted for AdS transition amplitudes in momentum space, allowing one to bypass bulk point integrations.
We demonstrate the utility of this approach in AdS by presenting several explicit results both at tree and loop level.

Built on

S. Parikh, “Holographic dual of the five-point conformal block,” arXiv:1901.01267 [hep-th]
Original
1901
Earlier work this paper cites.
D. Anninos, V. De Luca, G. Franciolini, A. Kehagias, and A. Riotto, “Cosmological Shapes of Higher-Spin Gravity,” JCAP
Original
1902
Earlier work this paper cites.
H. Isono, T. Noumi, and T. Takeuchi, “Momentum space conformal three-point functions of conserved currents and a general spinning operator,” JHEP
Original
1903
Earlier work this paper cites.
C. Corianò and M. M. Maglio, “On Some Hypergeometric Solutions of the Conformal Ward Identities of Scalar 4-point Functions in Momentum Space,” arXiv:1903.05047 [hep-th]
Original
1903
Earlier work this paper cites.
S. Albayrak, C. Chowdhury, and S. Kharel, “New relation for Witten diagrams,” JHEP
Original
1904
Earlier work this paper cites.
S. Fichet, “Opacity and effective field theory in anti–de Sitter backgrounds,” Phys. Rev
Original
1905
Earlier work this paper cites.
C. B. Jepsen and S. Parikh, “Propagator identities, holographic conformal blocks, and higher-point AdS diagrams,” JHEP
Original
1906
Earlier work this paper cites.
C. Sleight, “A Mellin Space Approach to Cosmological Correlators,” arXiv:1906.12302 [hep-th]
Original
1906
Earlier work this paper cites.
C. Sleight and M. Taronna, “Bootstrapping Inflationary Correlators in Mellin Space,” arXiv:1907.01143 [hep-th]
Original
1907
Earlier work this paper cites.
D. Ponomarev, “From bulk loops to boundary large-N expansion,” arXiv:1908.03974 [hep-th]
Original
1908
Earlier work this paper cites.
H. Isono, T. Noumi, and G. Shiu, “Momentum space approach to crossing symmetric CFT correlators. Part II. General spacetime dimension,” JHEP
Original
1908
Earlier work this paper cites.
S. Albayrak and S. Kharel, “Towards the higher point holographic momentum space amplitudes II: Gravitons,” JHEP
Original
1908
Earlier work this paper cites.
M. Gillioz, “Conformal 3-point functions and the Lorentzian OPE in momentum space,” arXiv:1909.00878 [hep-th]
Original
1909
Earlier work this paper cites.
A. Bzowski, P. McFadden, and K. Skenderis, “Conformal n n -point functions in momentum space,” arXiv:1910.10162 [hep-th]
Original
1910
Earlier work this paper cites.
D. Carmi, “Loops in AdS: From the Spectral Representation to Position Space,” arXiv:1910.14340 [hep-th]
Original
1910
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,” arXiv:1910.14051 [hep-th]
Original
1910
Earlier work this paper cites.
N. Anand, Z. U. Khandker, and M. T. Walters, “Momentum space CFT correlators for Hamiltonian truncation,” arXiv:1911.02573 [hep-th]
Original
1911
Earlier work this paper cites.
J. Penedones, J. A. Silva, and A. Zhiboedov, “Nonperturbative Mellin Amplitudes: Existence, Properties, Applications,” arXiv:1912.11100 [hep-th]
Original
1912
Earlier work this paper cites.
F. Aprile, J. Drummond, P. Heslop, and H. Paul, “One-loop amplitudes in A d S 5 × S 5 AdS_{5}\times S^{5} supergravity from 𝒩 = 4 \mathcal{N}=4 SYM at strong coupling,” arXiv:1912.01047 [hep-th]
Original
1912
Earlier work this paper cites.
D. Meltzer, “AdS/CFT Unitarity at Higher Loops: High-Energy String Scattering,” arXiv:1912.05580 [hep-th]
Original
1912
Earlier work this paper cites.
D. Meltzer, E. Perlmutter, and A. Sivaramakrishnan, “Unitarity Methods in AdS/CFT,” arXiv:1912.09521 [hep-th]
Original
1912
Earlier work this paper cites.
A. Lipstein and P. McFadden, “Double copy structure and the flat space limit of conformal correlators in even dimensions,” arXiv:1912.10046 [hep-th]
Original
1912
Earlier work this paper cites.
B. Nagaraj and D. Ponomarev, “Spinor-Helicity Formalism for Massless Fields in AdS 4 II: Potentials,” arXiv:1912.07494 [hep-th]
Original
1912
Earlier work this paper cites.
A. Hillman, “Symbol Recursion for the dS Wave Function,” arXiv:1912.09450 [hep-th]
Original
1912
Earlier work this paper cites.
G. W. Gibbons and S. W. Hawking, “Action Integrals and Partition Functions in Quantum Gravity,” Phys. Rev
1977
Earlier work this paper cites.
Cambridge Monographs on Mathematical Physics. Cambridge Univ. Press, Cambridge, UK, 1984
N. D. Birrell and P. C. W. Davies, Quantum Fields in Curved Space · 1984
Earlier work this paper cites.
S. Sonego and V. Faraoni, “Coupling to the curvature for a scalar field from the equivalence principle,” Class. Quant. Grav
1993
Earlier work this paper cites.
J. M. Maldacena, “The Large N limit of superconformal field theories and supergravity,” Int. J. Theor. Phys
1998
Earlier work this paper cites.
E. Witten, “Anti-de Sitter space and holography,” Adv. Theor. Math. Phys
1998
Earlier work this paper cites.
S. S. Gubser, I. R. Klebanov, and A. M. Polyakov, “Gauge theory correlators from noncritical string theory,” Phys. Lett
1998
Earlier work this paper cites.

Similar

D. Z. Freedman, S. D. Mathur, A. Matusis, and L. Rastelli, “Comments on 4 point functions in the CFT / AdS correspondence,” Phys. Lett
1999
Cited alongside, same era.
H. Liu and A. A. Tseytlin, “On four point functions in the CFT / AdS correspondence,” Phys. Rev
1999
Cited alongside, same era.
D. Z. Freedman, S. D. Mathur, A. Matusis, and L. Rastelli, “Correlation functions in the CFT(d) / AdS(d+1) correspondence,” Nucl. Phys
1999
Cited alongside, same era.
E. D’Hoker, D. Z. Freedman, and L. Rastelli, “AdS / CFT four point functions: How to succeed at z integrals without really trying,” Nucl. Phys
1999
Cited alongside, same era.
E. D’Hoker, D. Z. Freedman, S. D. Mathur, A. Matusis, and L. Rastelli, “Graviton exchange and complete four point functions in the AdS / CFT correspondence,” Nucl. Phys
1999
Cited alongside, same era.

Then

C. Corianò, L. Delle Rose, E. Mottola, and M. Serino, “Solving the Conformal Constraints for Scalar Operators in Momentum Space and the Evaluation of Feynman’s Master Integrals,” JHEP
Original
2013
Later among the works it cites.
J.-O. Gong, S. Pi, and M. Sasaki, “Equilateral non-Gaussianity from heavy fields,” JCAP
Original
2013
Later among the works it cites.
V. Faraoni, “Conformally coupled inflation,” Galaxies
2013
Later among the works it cites.
M. S. Costa, V. Gonalves, and J. Penedones, “Spinning AdS Propagators,” JHEP
Original
2014
Later among the works it cites.
A. Bzowski, P. McFadden, and K. Skenderis, “Implications of conformal invariance in momentum space,” JHEP
Original
2014

Beyond the bibliography

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

Open on alphaXiv

alphaXiv is searching for related work…

S. Nojiri and S. D. Odintsov, “Brane world cosmology in higher derivative gravity or warped compactification in the next-to-leading order of AdS / CFT correspondence,” JHEP

2000

Cited alongside, same era.

M. S. Costa and T. Hansen, “AdS Weight Shifting Operators,” arXiv:1805.01492 [hep-th]

Original

2001

Cited alongside, same era.

J. M. Maldacena, “Non-Gaussian features of primordial fluctuations in single field inflationary models,” JHEP

2003

Cited alongside, same era.

S. Albayrak and S. Kharel, “On spinning loop amplitudes in Anti-de Sitter space,” arXiv:2006.12540 [hep-th]

Original

2006