Abstract
Euclidean wormhole geometries sourced by axions and dilatons are puzzling objects in quantum gravity. From one side of the wormhole to the other, the scalar fields traverse a few Planck lengths in field space and so corrections from the UV might potentially affect the consistency of the solution, even when the wormholes are large. Motivated by this, we carry out the first explicit 10d lifts of regular Euclidean axion wormholes. We start off with the lift of Giddings-Strominger wormholes in \( \mathcal{N} \) = 8 Euclidean supergravity over a 6-torus to 10d type IIA supergravity and find the solution can be everywhere tuned into the parametrically controlled supergravity regime. Secondly, we construct explicit wormholes in AdS spaces and find them again to be under parametric control. We find the first wormhole solutions in massive type IIA on S3 × S3 and in type IIB on T1,1. The latter has an explicit holographic dual, and similar to the earlier constructions in AdS5 × S5/ℤk, the wormholes violate operator positivity since Tr(F ± ⋆ F)2 < 0. This puzzle might arise from subtleties related to computing holographic n-point functions in the presence of multiple boundaries.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
A. Hebecker, T. Mikhail and P. Soler, Euclidean wormholes, baby universes, and their impact on particle physics and cosmology, Front. Astron. Space Sci. 5 (2018) 35 [arXiv:1807.00824] [INSPIRE].
T.G. Mertens and G.J. Turiaci, Solvable Models of Quantum Black Holes: A Review on Jackiw-Teitelboim Gravity, arXiv:2210.10846 [INSPIRE].
C. Vafa, The String landscape and the swampland, hep-th/0509212 [INSPIRE].
J. McNamara and C. Vafa, Baby Universes, Holography, and the Swampland, arXiv:2004.06738 [INSPIRE].
T. Van Riet, Instantons, Euclidean wormholes and AdS/CFT, PoS CORFU2019 (2020) 121 [arXiv:2004.08956] [INSPIRE].
A. Kundu, Wormholes and holography: an introduction, Eur. Phys. J. C 82 (2022) 447 [arXiv:2110.14958] [INSPIRE].
S.B. Giddings and A. Strominger, Axion Induced Topology Change in Quantum Gravity and String Theory, Nucl. Phys. B 306 (1988) 890 [INSPIRE].
P. Betzios, E. Kiritsis and O. Papadoulaki, Euclidean Wormholes and Holography, JHEP 06 (2019) 042 [arXiv:1903.05658] [INSPIRE].
P. Betzios, E. Kiritsis and O. Papadoulaki, Interacting systems and wormholes, JHEP 02 (2022) 126 [arXiv:2110.14655] [INSPIRE].
D. Marolf and J.E. Santos, AdS Euclidean wormholes, Class. Quant. Grav. 38 (2021) 224002 [arXiv:2101.08875] [INSPIRE].
J.M. Maldacena and L. Maoz, Wormholes in AdS, JHEP 02 (2004) 053 [hep-th/0401024] [INSPIRE].
S.R. Coleman, Black Holes as Red Herrings: Topological Fluctuations and the Loss of Quantum Coherence, Nucl. Phys. B 307 (1988) 867 [INSPIRE].
R. Kallosh, A.D. Linde, D.A. Linde and L. Susskind, Gravity and global symmetries, Phys. Rev. D 52 (1995) 912 [hep-th/9502069] [INSPIRE].
N. Arkani-Hamed, L. Motl, A. Nicolis and C. Vafa, The String landscape, black holes and gravity as the weakest force, JHEP 06 (2007) 060 [hep-th/0601001] [INSPIRE].
M. Montero, A.M. Uranga and I. Valenzuela, Transplanckian axions!?, JHEP 08 (2015) 032 [arXiv:1503.03886] [INSPIRE].
J. Brown, W. Cottrell, G. Shiu and P. Soler, Fencing in the Swampland: Quantum Gravity Constraints on Large Field Inflation, JHEP 10 (2015) 023 [arXiv:1503.04783] [INSPIRE].
J. Brown, W. Cottrell, G. Shiu and P. Soler, On Axionic Field Ranges, Loopholes and the Weak Gravity Conjecture, JHEP 04 (2016) 017 [arXiv:1504.00659] [INSPIRE].
B. Heidenreich, M. Reece and T. Rudelius, Sharpening the Weak Gravity Conjecture with Dimensional Reduction, JHEP 02 (2016) 140 [arXiv:1509.06374] [INSPIRE].
A. Hebecker, P. Mangat, S. Theisen and L.T. Witkowski, Can Gravitational Instantons Really Constrain Axion Inflation?, JHEP 02 (2017) 097 [arXiv:1607.06814] [INSPIRE].
A. Hebecker, P. Henkenjohann and L.T. Witkowski, What is the Magnetic Weak Gravity Conjecture for Axions?, Fortsch. Phys. 65 (2017) 1700011 [arXiv:1701.06553] [INSPIRE].
A. Hebecker and P. Soler, The Weak Gravity Conjecture and the Axionic Black Hole Paradox, JHEP 09 (2017) 036 [arXiv:1702.06130] [INSPIRE].
V. Guidetti, N. Righi, G. Venken and A. Westphal, Axionic Festina Lente, JHEP 01 (2023) 114 [arXiv:2206.03494] [INSPIRE].
E. Bergshoeff, A. Collinucci, U. Gran, D. Roest and S. Vandoren, Non-extremal D-instantons, JHEP 10 (2004) 031 [hep-th/0406038] [INSPIRE].
G.J. Loges, G. Shiu and N. Sudhir, Complex saddles and Euclidean wormholes in the Lorentzian path integral, JHEP 08 (2022) 064 [arXiv:2203.01956] [INSPIRE].
E. Bergshoeff, A. Collinucci, U. Gran, D. Roest and S. Vandoren, Non-extremal instantons and wormholes in string theory, Fortsch. Phys. 53 (2005) 990 [hep-th/0412183] [INSPIRE].
J. Cotler and K. Jensen, Wormholes and black hole microstates in AdS/CFT, JHEP 09 (2021) 001 [arXiv:2104.00601] [INSPIRE].
T. Hertog, M. Trigiante and T. Van Riet, Axion Wormholes in AdS Compactifications, JHEP 06 (2017) 067 [arXiv:1702.04622] [INSPIRE].
S. Katmadas, D. Ruggeri, M. Trigiante and T. Van Riet, The holographic dual to supergravity instantons in AdS5 × S5/ℤk, JHEP 10 (2019) 205 [arXiv:1812.05986] [INSPIRE].
N. Arkani-Hamed, J. Orgera and J. Polchinski, Euclidean wormholes in string theory, JHEP 12 (2007) 018 [arXiv:0705.2768] [INSPIRE].
D. Astesiano, D. Ruggeri, M. Trigiante and T. Van Riet, Instantons and no wormholes in AdS3 × S3 × CY2, Phys. Rev. D 105 (2022) 086022 [arXiv:2201.11694] [INSPIRE].
H. Ooguri and C. Vafa, On the Geometry of the String Landscape and the Swampland, Nucl. Phys. B 766 (2007) 21 [hep-th/0605264] [INSPIRE].
G.J. Loges, Type II AdS Wormholes, https://github.com/gloges/typeII-wormholes (2023).
E. Bergshoeff, A. Collinucci, A. Ploegh, S. Vandoren and T. Van Riet, Non-extremal D-instantons and the AdS/CFT correspondence, JHEP 01 (2006) 061 [hep-th/0510048] [INSPIRE].
M. Davidse, M. de Vroome, U. Theis and S. Vandoren, Instanton solutions for the universal hypermultiplet, Fortsch. Phys. 52 (2004) 696 [hep-th/0309220] [INSPIRE].
S. Andriolo, G. Shiu, P. Soler and T. Van Riet, Axion wormholes with massive dilaton, Class. Quant. Grav. 39 (2022) 215014 [arXiv:2205.01119] [INSPIRE].
D. Ruggeri, M. Trigiante and T. Van Riet, Instantons from geodesics in AdS moduli spaces, JHEP 03 (2018) 091 [arXiv:1712.06081] [INSPIRE].
D. Lüst, E. Palti and C. Vafa, AdS and the Swampland, Phys. Lett. B 797 (2019) 134867 [arXiv:1906.05225] [INSPIRE].
G. Shiu, F. Tonioni, V. Van Hemelryck and T. Van Riet, AdS scale separation and the distance conjecture, JHEP 05 (2023) 077 [arXiv:2212.06169] [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].
J. Louis and C. Muranaka, AdS5 vacua from type IIB supergravity on T1,1, JHEP 06 (2017) 035 [arXiv:1611.02982] [INSPIRE].
D. Cassani and A.F. Faedo, A Supersymmetric consistent truncation for conifold solutions, Nucl. Phys. B 843 (2011) 455 [arXiv:1008.0883] [INSPIRE].
D. Marolf, Chern-Simons terms and the three notions of charge, in International Conference on Quantization, Gauge Theory, and Strings: Conference Dedicated to the Memory of Professor Efim Fradkin, Moscow, Russian Federation (2000), pg. 312, [hep-th/0006117] [INSPIRE].
A. Imaanpur, D-instantons in Klebanov-Witten model, JHEP 04 (2016) 111 [arXiv:1603.00364] [INSPIRE].
D. Marolf and H. Maxfield, Transcending the ensemble: baby universes, spacetime wormholes, and the order and disorder of black hole information, JHEP 08 (2020) 044 [arXiv:2002.08950] [INSPIRE].
L.J. Romans, Massive N=2a Supergravity in Ten-Dimensions, Phys. Lett. B 169 (1986) 374 [INSPIRE].
P. Koerber and S. Kors, A landscape of non-supersymmetric AdS vacua on coset manifolds, Phys. Rev. D 81 (2010) 105006 [arXiv:1001.0003] [INSPIRE].
Acknowledgments
We thank both Pablo Soler and Jake McNamara for useful discussions. The work of GJL is supported in part by MEXT Leading Initiative for Excellent Young Researchers Grant Number JPMXS0320210099. The work of GS is supported in part by the DOE grant DESC0017647. The work of TVR is supported by the C16/16/005 grant of the KULeuven.
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
ArXiv ePrint: 2302.03688
Rights and permissions
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.
About this article
Cite this article
Loges, G.J., Shiu, G. & Van Riet, T. A 10d construction of Euclidean axion wormholes in flat and AdS space. J. High Energ. Phys. 2023, 79 (2023). https://doi.org/10.1007/JHEP06(2023)079
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP06(2023)079