Abstract
I compare two holographic mechanisms giving to the graviton a parametrically-small supersymmetric mass mg in Anti-de Sitter spacetime. In the context of bimetric gravity these mechanisms couple ‘weakly’ two initially decoupled superconformal theories by: (i) turning on a double-trace deformation, or (ii) gauging a common global symmetry. Superconformal invariance restricts the number of Poincaré supercharges to NQ ≤ 4 for mechanism (i) and to NQ ≤ 8 for mechanism (ii), and the AdS dimension to D ≤ 5. The putative effective supergravities are expected to break down in the mg → 0 limit at an intermediate scale between mg and mPlanck. In a recently-proposed microscopic embedding of mechanism (ii) in string theory [7, 8], I show that mg = 0 is at infinite distance in moduli space, and I relate the breakdown of the effective theory to the condensation of unprotected spin-2 excitations in the string-theoretic description of the ‘holographic bridge’. The phenomenon is invisible in the weakly-coupled CFT side. I conjecture that similar phenomena should be at work in all cases.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
K. Hinterbichler, Theoretical aspects of massive gravity, Rev. Mod. Phys. 84 (2012) 671 [arXiv:1105.3735] [INSPIRE].
C. de Rham, Massive gravity, Living Rev. Rel. 17 (2014) 7 [arXiv:1401.4173] [INSPIRE].
A. Schmidt-May and M. von Strauss, Recent developments in bimetric theory, J. Phys. A 49 (2016) 183001 [arXiv:1512.00021] [INSPIRE].
LIGO Scientific, VIRGO collaboration, GW170104: observation of a 50-solar-mass binary black hole coalescence at redshift 0.2, Phys. Rev. Lett. 118 (2017) 221101 [Erratum ibid. 121 (2018) 129901] [arXiv:1706.01812] [INSPIRE].
C. de Rham, J.T. Deskins, A.J. Tolley and S.-Y. Zhou, Graviton mass bounds, Rev. Mod. Phys. 89 (2017) 025004 [arXiv:1606.08462] [INSPIRE].
C.M. Will, Solar system versus gravitational-wave bounds on the graviton mass, Class. Quant. Grav. 35 (2018) 17LT01 [arXiv:1805.10523] [INSPIRE].
C. Bachas and I. Lavdas, Quantum gates to other universes, Fortsch. Phys. 66 (2018) 1700096 [arXiv:1711.11372] [INSPIRE].
C. Bachas and I. Lavdas, Massive Anti-de Sitter gravity from string theory, JHEP 11 (2018) 003 [arXiv:1807.00591] [INSPIRE].
N. Arkani-Hamed, H. Georgi and M.D. Schwartz, Effective field theory for massive gravitons and gravity in theory space, Annals Phys. 305 (2003) 96 [hep-th/0210184] [INSPIRE].
C. de Rham, A.J. Tolley and S.-Y. Zhou, The Λ2 limit of massive gravity, JHEP 04 (2016) 188 [arXiv:1602.03721] [INSPIRE].
C. Cordova, T.T. Dumitrescu and K. Intriligator, Multiplets of superconformal symmetry in diverse dimensions, JHEP 03 (2019) 163 [arXiv:1612.00809] [INSPIRE].
E. Witten, Multitrace operators, boundary conditions and AdS/CFT correspondence, hep-th/0112258 [INSPIRE].
M. Berkooz, A. Sever and A. Shomer, ‘Double trace’ deformations, boundary conditions and space-time singularities, JHEP 05 (2002) 034 [hep-th/0112264] [INSPIRE].
E. Kiritsis, Product CFTs, gravitational cloning, massive gravitons and the space of gravitational duals, JHEP 11 (2006) 049 [hep-th/0608088] [INSPIRE].
O. Aharony, A.B. Clark and A. Karch, The CFT/AdS correspondence, massive gravitons and a connectivity index conjecture, Phys. Rev. D 74 (2006) 086006 [hep-th/0608089] [INSPIRE].
E. Kiritsis and V. Niarchos, Interacting string multi-verses and holographic instabilities of massive gravity, Nucl. Phys. B 812 (2009) 488 [arXiv:0808.3410] [INSPIRE].
M. Porrati, Higgs phenomenon for 4 − D gravity in anti-de Sitter space, JHEP 04 (2002) 058 [hep-th/0112166] [INSPIRE].
L. Randall and R. Sundrum, A large mass hierarchy from a small extra dimension, Phys. Rev. Lett. 83 (1999) 3370 [hep-ph/9905221] [INSPIRE].
L. Randall and R. Sundrum, An alternative to compactification, Phys. Rev. Lett. 83 (1999) 4690 [hep-th/9906064] [INSPIRE].
A. Karch and L. Randall, Locally localized gravity, JHEP 05 (2001) 008 [hep-th/0011156] [INSPIRE].
S. Ferrara, A. Kehagias and D. Lüst, Bimetric, conformal supergravity and its superstring embedding, JHEP 05 (2019) 100 [arXiv:1810.08147] [INSPIRE].
C. de Rham and G. Gabadadze, Generalization of the Fierz-Pauli action, Phys. Rev. D 82 (2010) 044020 [arXiv:1007.0443] [INSPIRE].
C. de Rham, G. Gabadadze and A.J. Tolley, Resummation of massive gravity, Phys. Rev. Lett. 106 (2011) 231101 [arXiv:1011.1232] [INSPIRE].
S.F. Hassan and R.A. Rosen, On non-linear actions for massive gravity, JHEP 07 (2011) 009 [arXiv:1103.6055] [INSPIRE].
S.F. Hassan and R.A. Rosen, Resolving the ghost problem in non-linear massive gravity, Phys. Rev. Lett. 108 (2012) 041101 [arXiv:1106.3344] [INSPIRE].
A.H. Chamseddine and V. Mukhanov, Hidden ghost in massive gravity, JHEP 03 (2013) 092 [arXiv:1302.4367] [INSPIRE].
S. Deser, K. Izumi, Y.C. Ong and A. Waldron, Problems of massive gravities, Mod. Phys. Lett. A 30 (2015) 1540006 [arXiv:1410.2289] [INSPIRE].
W. Nahm, Supersymmetries and their representations, Nucl. Phys. B 135 (1978) 149 [INSPIRE].
E.A. Bergshoeff, O. Hohm and P.K. Townsend, Massive gravity in three dimensions, Phys. Rev. Lett. 102 (2009) 201301 [arXiv:0901.1766] [INSPIRE].
R. Andringa et al., Massive 3D supergravity, Class. Quant. Grav. 27 (2010) 025010 [arXiv:0907.4658] [INSPIRE].
C. Cordova, T.T. Dumitrescu and K. Intriligator, Deformations of superconformal theories, JHEP 11 (2016) 135 [arXiv:1602.01217] [INSPIRE].
P. Argyres, M. Lotito, Y. Lü and M. Martone, Geometric constraints on the space of \( \mathcal{N}=2 \) SCFTs. Part I: physical constraints on relevant deformations, JHEP 02 (2018) 001 [arXiv:1505.04814] [INSPIRE].
I.R. Klebanov and E. Witten, Superconformal field theory on three-branes at a Calabi-Yau singularity, Nucl. Phys. B 536 (1998) 199 [hep-th/9807080] [INSPIRE].
C. Bachas, M. Bianchi and A. Hanany, \( \mathcal{N}=2 \) moduli of AdS 4 vacua: a fine-print study, JHEP 08 (2018) 100 [Erratum ibid. 10 (2018) 032] [arXiv:1711.06722] [INSPIRE].
C. Bachas, I. Lavdas and B. Le Floch, Marginal deformations of 3d N = 4 linear quiver theories, arXiv:1905.06297 [INSPIRE].
J.P. Derendinger, Currents in supersymmetric field theories, PoS(PLANCK 2015) 034 [arXiv:1609.00164].
S. Ferrara and B. Zumino, Transformation properties of the supercurrent, Nucl. Phys. B 87 (1975) 207 [INSPIRE].
Yu.M. Zinoviev, Massive spin two supermultiplets, hep-th/0206209 [INSPIRE].
T. Gregoire, M.D. Schwartz and Y. Shadmi, Massive supergravity and deconstruction, JHEP 07 (2004) 029 [hep-th/0403224] [INSPIRE].
N.A. Ondo and A.J. Tolley, Deconstructing supergravity: massive supermultiplets, JHEP 11 (2018) 082 [arXiv:1612.08752] [INSPIRE].
C. de Rham, S. Melville, A.J. Tolley and S.-Y. Zhou, Positivity bounds for massive spin-1 and spin-2 fields, JHEP 03 (2019) 182 [arXiv:1804.10624] [INSPIRE].
J. Bonifacio, K. Hinterbichler and R.A. Rosen, Constraints on a gravitational Higgs mechanism, arXiv:1903.09643 [INSPIRE].
D. Klaewer, D. Lüst and E. Palti, A spin-2 conjecture on the swampland, Fortsch. Phys. 67 (2019) 1800102 [arXiv:1811.07908] [INSPIRE].
C. De Rham, L. Heisenberg and A.J. Tolley, Spin-2 and the weak gravity conjecture, arXiv:1812.01012 [INSPIRE].
E. Palti, The swampland: introduction and review, 2019, arXiv:1903.06239 [INSPIRE].
D. Gaiotto and E. Witten, S-duality of boundary conditions in N = 4 super Yang-Mills theory, Adv. Theor. Math. Phys. 13 (2009) 721 [arXiv:0807.3720] [INSPIRE].
B. Assel, C. Bachas, J. Estes and J. Gomis, Holographic duals of D = 3 N = 4 superconformal field theories, JHEP 08 (2011) 087 [arXiv:1106.4253] [INSPIRE].
B. Assel, C. Bachas, J. Estes and J. Gomis, IIB duals of D = 3 N = 4 circular quivers, JHEP 12 (2012) 044 [arXiv:1210.2590] [INSPIRE].
E. D’Hoker, J. Estes and M. Gutperle, Ten-dimensional supersymmetric Janus solutions, Nucl. Phys. B 757 (2006) 79 [hep-th/0603012] [INSPIRE].
C. Bachas and J. Estes, Spin-2 spectrum of defect theories, JHEP 06 (2011) 005 [arXiv:1103.2800] [INSPIRE].
O. Aharony, L. Berdichevsky, M. Berkooz and I. Shamir, Near-horizon solutions for D3-branes ending on 5-branes, Phys. Rev. D 84 (2011) 126003 [arXiv:1106.1870] [INSPIRE].
D. Gaiotto, N = 2 dualities, JHEP 08 (2012) 034 [arXiv:0904.2715] [INSPIRE].
D. Gaiotto and J. Maldacena, The gravity duals of N = 2 superconformal field theories, JHEP 10 (2012) 189 [arXiv:0904.4466] [INSPIRE].
J. Distler, B. Ergun and F. Yan, Product SCFTs in class-S, arXiv:1711.04727 [INSPIRE].
Open Access
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1905.05039
Rights and permissions
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made.
The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder.
To view a copy of this licence, visit https://creativecommons.org/licenses/by/4.0/.
About this article
Cite this article
Bachas, C. Massive AdS supergravitons and holography. J. High Energ. Phys. 2019, 73 (2019). https://doi.org/10.1007/JHEP06(2019)073
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP06(2019)073