Built on

G. T. Horowitz and J. E. Santos, “Further evidence for the weak gravity - cosmic censorship connection,” arXiv:1901.11096 [hep-th]
Original
1901
Earlier work this paper cites.
D. J. Binder, S. M. Chester, S. S. Pufu, and Y. Wang, “ 𝒩 = 4 \mathcal{N}=4 Super-Yang-Mills Correlators at Strong Coupling from String Theory and Localization,” arXiv:1902.06263 [hep-th]
Original
1902
Earlier work this paper cites.
N. Afkhami-Jeddi, T. Hartman, and A. Tajdini, “Fast Conformal Bootstrap and Constraints on 3d Gravity,” JHEP
Original
1903
Earlier work this paper cites.
D. Ponomarev, E. Sezgin, and E. Skvortsov, “On one loop corrections in higher spin gravity,” arXiv:1904.01042 [hep-th]
Original
1904
Earlier work this paper cites.
L. Rastelli, K. Roumpedakis, and X. Zhou, “ 𝐀𝐝𝐒 𝟑 × 𝐒 𝟑 \mathbf{AdS_{3}\times S^{3}} Tree-Level Correlators: Hidden Six-Dimensional Conformal Symmetry,” arXiv:1905.11983 [hep-th]
Original
1905
Earlier work this paper cites.
S. Giusto, R. Russo, A. Tyukov, and C. Wen, “Holographic correlators in AdS 3 without Witten diagrams,” JHEP
Original
1905
Earlier work this paper cites.
E. Hijano, “Flat space physics from AdS/CFT,” Submitted to: J. High Energy Phys
Original
1905
Earlier work this paper cites.
T. Hartman, D. Mazáč, and L. Rastelli, “Sphere Packing and Quantum Gravity,” arXiv:1905.01319 [hep-th]
Original
1905
Earlier work this paper cites.
S. Hirano, C. Kristjansen, and D. Young, “Giant Gravitons on AdS x 4 C P 3 {}_{4}xCP^{3} and their Holographic Three-point Functions,” JHEP
Original
1959
Earlier work this paper cites.
D. N. Page and C. N. Pope, “Which Compactifications of D = 11 D=11 Supergravity Are Stable?,” Phys. Lett
1984
Earlier work this paper cites.
D. N. Page and C. N. Pope, “Stability Analysis of Compactifications of D = 11 D=11 Supergravity With SU(3) X SU(2) X U(1) Symmetry,” Phys. Lett
1984
Earlier work this paper cites.
Classics in mathematics. Springer, 1987
A. Besse, Einstein Manifolds · 1987
Earlier work this paper cites.
M. Henningson and K. Skenderis, “The Holographic Weyl anomaly,” JHEP
1998
Earlier work this paper cites.
S. Lee, S. Minwalla, M. Rangamani, and N. Seiberg, “Three point functions of chiral operators in D = 4, N=4 SYM at large N,” Adv. Theor. Math. Phys
1998
Earlier work this paper cites.
I. R. Klebanov and E. Witten, “Superconformal field theory on three-branes at a Calabi-Yau singularity,” Nucl. Phys
1998
Earlier work this paper cites.
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
Earlier work this paper cites.
F. Bastianelli and R. Zucchini, “Three point functions of chiral primary operators in d = 3, N=8 and d = 6, N=(2,0) SCFT at large N,” Phys. Lett
1999
Earlier work this paper cites.
S. S. Gubser, “Einstein manifolds and conformal field theories,” Phys. Rev
1999
Earlier work this paper cites.
D. Fabbri, P. Fre, L. Gualtieri, and P. Termonia, “M theory on AdS(4) x M**111: The Complete Osp(2|4) x SU(3) x SU(2) spectrum from harmonic analysis,” Nucl. Phys
1999
Earlier work this paper cites.
A. Ceresole, G. Dall’Agata, R. D’Auria, and S. Ferrara, “Superconformal field theories from IIB spectroscopy on AdS(5) x T-11,” Class. Quant. Grav
2000
Earlier work this paper cites.
A. Ceresole, G. Dall’Agata, R. D’Auria, and S. Ferrara, “Spectrum of type IIB supergravity on AdS(5) x T**11: Predictions on N=1 SCFT’s,” Phys. Rev
2000
Earlier work this paper cites.
D. Yang, “Rigidity of Einstein 4-manifolds with positive curvature,” Inventiones mathematicae
2000
Earlier work this paper cites.
O. Lunin and S. D. Mathur, “Correlation functions for M**N / S(N) orbifolds,” Commun. Math. Phys
2001
Earlier work this paper cites.
E. Silverstein, “(A)dS backgrounds from asymmetric orientifolds,” Clay Mat. Proc
2002
Earlier work this paper cites.
O. Lunin and S. D. Mathur, “Three point functions for M(N) / S(N) orbifolds with N=4 supersymmetry,” Commun. Math. Phys
2002
Earlier work this paper cites.
D. E. Berenstein, J. M. Maldacena, and H. S. Nastase, “Strings in flat space and pp waves from N=4 superYang-Mills,” JHEP
2002
Earlier work this paper cites.
A. M. Polyakov, “Gauge fields and space-time,” Int. J. Mod. Phys
2002
Earlier work this paper cites.
I. R. Klebanov and A. M. Polyakov, “AdS dual of the critical O(N) vector model,” Phys. Lett
2002
Earlier work this paper cites.
S. Kachru, R. Kallosh, A. D. Linde, and S. P. Trivedi, “De Sitter vacua in string theory,” Phys. Rev
2003
Earlier work this paper cites.
A. A. Tseytlin, “On semiclassical approximation and spinning string vertex operators in AdS(5) x S**5,” Nucl. Phys
2003
Earlier work this paper cites.
A. M. Polyakov, “Conformal fixed points of unidentified gauge theories,” Mod. Phys. Lett
2004
Earlier work this paper cites.
I. R. Klebanov and J. M. Maldacena, “Superconformal gauge theories and non-critical superstrings,” Int. J. Mod. Phys
2004
Earlier work this paper cites.
S. Kuperstein and J. Sonnenschein, “Noncritical supergravity (d>1) and holography,” JHEP
2004
Earlier work this paper cites.
V. Balasubramanian, P. Berglund, J. P. Conlon, and F. Quevedo, “Systematics of moduli stabilisation in Calabi-Yau flux compactifications,” JHEP
2005
Earlier work this paper cites.
O. DeWolfe, A. Giryavets, S. Kachru, and W. Taylor, “Type IIA moduli stabilization,” JHEP
2005
Earlier work this paper cites.
M. Cvetic, H. Lu, D. N. Page, and C. N. Pope, “New Einstein-Sasaki spaces in five and higher dimensions,” Phys. Rev. Lett
2005
Earlier work this paper cites.
L. Cornalba, M. S. Costa, and J. Penedones, “Eikonal approximation in AdS/CFT: Resumming the gravitational loop expansion,” JHEP
Original
2007
Earlier work this paper cites.
O. Aharony and E. Silverstein, “Supercritical stability, transitions and (pseudo)tachyons,” Phys. Rev
2007
Earlier work this paper cites.
D. R. Green, A. Lawrence, J. McGreevy, D. R. Morrison, and E. Silverstein, “Dimensional duality,” Phys. Rev
Original
2007
Earlier work this paper cites.

Similar

N. Arkani-Hamed, L. Motl, A. Nicolis, and C. Vafa, “The String landscape, black holes and gravity as the weakest force,” JHEP
2007
Cited alongside, same era.
O. Aharony, O. Bergman, D. L. Jafferis, and J. Maldacena, “N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals,” JHEP
Original
2008
Cited alongside, same era.
S. Hellerman and I. Swanson, “Cosmological solutions of supercritical string theory,” Phys. Rev
2008
Cited alongside, same era.
J. Polchinski, “Landscape/CFT Duality?,” KITP seminar
2008
Cited alongside, same era.
M. T. Anderson, “A survey of Einstein metrics on 4-manifolds,” arXiv e-prints
Original
2008
Cited alongside, same era.

Then

F. F. Gautason, M. Schillo, T. Van Riet, and M. Williams, “Remarks on scale separation in flux vacua,” JHEP
Original
2016
Later among the works it cites.
L. F. Alday and A. Bissi, “Unitarity and positivity constraints for CFT at large central charge,” JHEP
Original
2017
Later among the works it cites.
O. Aharony, L. F. Alday, A. Bissi, and E. Perlmutter, “Loops in AdS from Conformal Field Theory,” JHEP
Original
2017
Later among the works it cites.
D. Li, D. Meltzer, and D. Poland, “Conformal Bootstrap in the Regge Limit,” JHEP
Original
2017
Later among the works it cites.
L. F. Alday, A. Bissi, and E. Perlmutter, “Holographic Reconstruction of AdS Exchanges from Crossing Symmetry,” JHEP

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2019

Growing Extra Dimensions in AdS/CFT

Alday, Luis F., Perlmutter, Eric

Understand

What is the dimension of spacetime? We address this question in the context of the AdS/CFT Correspondence.

We give a prescription for computing the number of large bulk dimensions, $D$, from strongly-coupled CFT$_d$ data, where "large" means parametrically of order the AdS scale.
The idea is that unitarity of 1-loop AdS amplitudes, dual to non-planar CFT correlators, fixes $D$ in terms of tree-level data.
We make this observation rigorous by deriving a positive-definite sum rule for the 1-loop double-discontinuity in the flat space/bulk-point limit.

Built on

G. T. Horowitz and J. E. Santos, “Further evidence for the weak gravity - cosmic censorship connection,” arXiv:1901.11096 [hep-th]
Original
1901
Earlier work this paper cites.
D. J. Binder, S. M. Chester, S. S. Pufu, and Y. Wang, “ 𝒩 = 4 \mathcal{N}=4 Super-Yang-Mills Correlators at Strong Coupling from String Theory and Localization,” arXiv:1902.06263 [hep-th]
Original
1902
Earlier work this paper cites.
N. Afkhami-Jeddi, T. Hartman, and A. Tajdini, “Fast Conformal Bootstrap and Constraints on 3d Gravity,” JHEP
Original
1903
Earlier work this paper cites.
D. Ponomarev, E. Sezgin, and E. Skvortsov, “On one loop corrections in higher spin gravity,” arXiv:1904.01042 [hep-th]
Original
1904
Earlier work this paper cites.
L. Rastelli, K. Roumpedakis, and X. Zhou, “ 𝐀𝐝𝐒 𝟑 × 𝐒 𝟑 \mathbf{AdS_{3}\times S^{3}} Tree-Level Correlators: Hidden Six-Dimensional Conformal Symmetry,” arXiv:1905.11983 [hep-th]
Original
1905
Earlier work this paper cites.
S. Giusto, R. Russo, A. Tyukov, and C. Wen, “Holographic correlators in AdS 3 without Witten diagrams,” JHEP
Original
1905
Earlier work this paper cites.
E. Hijano, “Flat space physics from AdS/CFT,” Submitted to: J. High Energy Phys
Original
1905
Earlier work this paper cites.
T. Hartman, D. Mazáč, and L. Rastelli, “Sphere Packing and Quantum Gravity,” arXiv:1905.01319 [hep-th]
Original
1905
Earlier work this paper cites.
S. Hirano, C. Kristjansen, and D. Young, “Giant Gravitons on AdS x 4 C P 3 {}_{4}xCP^{3} and their Holographic Three-point Functions,” JHEP
Original
1959
Earlier work this paper cites.
D. N. Page and C. N. Pope, “Which Compactifications of D = 11 D=11 Supergravity Are Stable?,” Phys. Lett
1984
Earlier work this paper cites.
D. N. Page and C. N. Pope, “Stability Analysis of Compactifications of D = 11 D=11 Supergravity With SU(3) X SU(2) X U(1) Symmetry,” Phys. Lett
1984
Earlier work this paper cites.
Classics in mathematics. Springer, 1987
A. Besse, Einstein Manifolds · 1987
Earlier work this paper cites.
M. Henningson and K. Skenderis, “The Holographic Weyl anomaly,” JHEP
1998
Earlier work this paper cites.
S. Lee, S. Minwalla, M. Rangamani, and N. Seiberg, “Three point functions of chiral operators in D = 4, N=4 SYM at large N,” Adv. Theor. Math. Phys
1998
Earlier work this paper cites.
I. R. Klebanov and E. Witten, “Superconformal field theory on three-branes at a Calabi-Yau singularity,” Nucl. Phys
1998
Earlier work this paper cites.
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
Earlier work this paper cites.
F. Bastianelli and R. Zucchini, “Three point functions of chiral primary operators in d = 3, N=8 and d = 6, N=(2,0) SCFT at large N,” Phys. Lett
1999
Earlier work this paper cites.
S. S. Gubser, “Einstein manifolds and conformal field theories,” Phys. Rev
1999
Earlier work this paper cites.
D. Fabbri, P. Fre, L. Gualtieri, and P. Termonia, “M theory on AdS(4) x M**111: The Complete Osp(2|4) x SU(3) x SU(2) spectrum from harmonic analysis,” Nucl. Phys
1999
Earlier work this paper cites.
A. Ceresole, G. Dall’Agata, R. D’Auria, and S. Ferrara, “Superconformal field theories from IIB spectroscopy on AdS(5) x T-11,” Class. Quant. Grav
2000
Earlier work this paper cites.
A. Ceresole, G. Dall’Agata, R. D’Auria, and S. Ferrara, “Spectrum of type IIB supergravity on AdS(5) x T**11: Predictions on N=1 SCFT’s,” Phys. Rev
2000
Earlier work this paper cites.
D. Yang, “Rigidity of Einstein 4-manifolds with positive curvature,” Inventiones mathematicae
2000
Earlier work this paper cites.
O. Lunin and S. D. Mathur, “Correlation functions for M**N / S(N) orbifolds,” Commun. Math. Phys
2001
Earlier work this paper cites.
E. Silverstein, “(A)dS backgrounds from asymmetric orientifolds,” Clay Mat. Proc
2002
Earlier work this paper cites.
O. Lunin and S. D. Mathur, “Three point functions for M(N) / S(N) orbifolds with N=4 supersymmetry,” Commun. Math. Phys
2002
Earlier work this paper cites.
D. E. Berenstein, J. M. Maldacena, and H. S. Nastase, “Strings in flat space and pp waves from N=4 superYang-Mills,” JHEP
2002
Earlier work this paper cites.
A. M. Polyakov, “Gauge fields and space-time,” Int. J. Mod. Phys
2002
Earlier work this paper cites.
I. R. Klebanov and A. M. Polyakov, “AdS dual of the critical O(N) vector model,” Phys. Lett
2002
Earlier work this paper cites.
S. Kachru, R. Kallosh, A. D. Linde, and S. P. Trivedi, “De Sitter vacua in string theory,” Phys. Rev
2003
Earlier work this paper cites.
A. A. Tseytlin, “On semiclassical approximation and spinning string vertex operators in AdS(5) x S**5,” Nucl. Phys
2003
Earlier work this paper cites.
A. M. Polyakov, “Conformal fixed points of unidentified gauge theories,” Mod. Phys. Lett
2004
Earlier work this paper cites.
I. R. Klebanov and J. M. Maldacena, “Superconformal gauge theories and non-critical superstrings,” Int. J. Mod. Phys
2004
Earlier work this paper cites.
S. Kuperstein and J. Sonnenschein, “Noncritical supergravity (d>1) and holography,” JHEP
2004
Earlier work this paper cites.
V. Balasubramanian, P. Berglund, J. P. Conlon, and F. Quevedo, “Systematics of moduli stabilisation in Calabi-Yau flux compactifications,” JHEP
2005
Earlier work this paper cites.
O. DeWolfe, A. Giryavets, S. Kachru, and W. Taylor, “Type IIA moduli stabilization,” JHEP
2005
Earlier work this paper cites.
M. Cvetic, H. Lu, D. N. Page, and C. N. Pope, “New Einstein-Sasaki spaces in five and higher dimensions,” Phys. Rev. Lett
2005
Earlier work this paper cites.
L. Cornalba, M. S. Costa, and J. Penedones, “Eikonal approximation in AdS/CFT: Resumming the gravitational loop expansion,” JHEP
Original
2007
Earlier work this paper cites.
O. Aharony and E. Silverstein, “Supercritical stability, transitions and (pseudo)tachyons,” Phys. Rev
2007
Earlier work this paper cites.
D. R. Green, A. Lawrence, J. McGreevy, D. R. Morrison, and E. Silverstein, “Dimensional duality,” Phys. Rev
Original
2007
Earlier work this paper cites.

Similar

N. Arkani-Hamed, L. Motl, A. Nicolis, and C. Vafa, “The String landscape, black holes and gravity as the weakest force,” JHEP
2007
Cited alongside, same era.
O. Aharony, O. Bergman, D. L. Jafferis, and J. Maldacena, “N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals,” JHEP
Original
2008
Cited alongside, same era.
S. Hellerman and I. Swanson, “Cosmological solutions of supercritical string theory,” Phys. Rev
2008
Cited alongside, same era.
J. Polchinski, “Landscape/CFT Duality?,” KITP seminar
2008
Cited alongside, same era.
M. T. Anderson, “A survey of Einstein metrics on 4-manifolds,” arXiv e-prints
Original
2008
Cited alongside, same era.