Abstract
We find regular axionic Euclidean wormhole solutions in Type IIB string theory compactified on \( {\mathrm{AdS}}_5\times {\mathrm{S}}^5/{\mathrm{\mathbb{Z}}}_k \). AdS/CFT enables a precise derivation of the axion content of the Euclidean theory, placing the string theory embedding of the wormholes on firm footing. This further sharpens the paradox posed by these solutions.
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References
S.B. Giddings and A. Strominger, Axion induced topology change in quantum gravity and string theory, Nucl. Phys. B 306 (1988) 890 [INSPIRE].
G.V. Lavrelashvili, V.A. Rubakov and P.G. Tinyakov, Disruption of quantum coherence upon a change in spatial topology in quantum gravity, JETP Lett. 46 (1987) 167 [INSPIRE].
S.W. Hawking, Wormholes in space-time, Phys. Rev. D 37 (1988) 904 [INSPIRE].
N. Arkani-Hamed, J. Orgera and J. Polchinski, Euclidean wormholes in string theory, JHEP 12 (2007) 018 [arXiv:0705.2768] [INSPIRE].
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].
A. Bergman and J. Distler, Wormholes in maximal supergravity, arXiv:0707.3168 [INSPIRE].
S.R. Coleman, Black holes as red herrings: topological fluctuations and the loss of quantum coherence, Nucl. Phys. B 307 (1988) 867 [INSPIRE].
S.B. Giddings and A. Strominger, Loss of incoherence and determination of coupling constants in quantum gravity, Nucl. Phys. B 307 (1988) 854 [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].
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].
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].
S. Kachru and E. Silverstein, 4D conformal theories and strings on orbifolds, Phys. Rev. Lett. 80 (1998) 4855 [hep-th/9802183] [INSPIRE].
P. Breitenlohner, D. Maison and G.W. Gibbons, Four-dimensional black holes from Kaluza-Klein theories, Commun. Math. Phys. 120 (1988) 295 [INSPIRE].
M. Gutperle and W. Sabra, Instantons and wormholes in Minkowski and (A)dS spaces, Nucl. Phys. B 647 (2002) 344 [hep-th/0206153] [INSPIRE].
E. Bergshoeff, W. Chemissany, A. Ploegh, M. Trigiante and T. Van Riet, Generating geodesic flows and supergravity solutions, Nucl. Phys. B 812 (2009) 343 [arXiv:0806.2310] [INSPIRE].
G. Bossard, H. Nicolai and K.S. Stelle, Universal BPS structure of stationary supergravity solutions, JHEP 07 (2009) 003 [arXiv:0902.4438] [INSPIRE].
A.B. Zamolodchikov, Irreversibility of the flux of the renormalization group in a 2D field theory, JETP Lett. 43 (1986) 730 [Pisma Zh. Eksp. Teor. Fiz. 43 (1986) 565] [INSPIRE].
A.V. Belitsky, S. Vandoren and P. van Nieuwenhuizen, Yang-Mills and D instantons, Class. Quant. Grav. 17 (2000) 3521 [hep-th/0004186] [INSPIRE].
V. Balasubramanian, P. Kraus, A.E. Lawrence and S.P. Trivedi, Holographic probes of Anti-de Sitter space-times, Phys. Rev. D 59 (1999) 104021 [hep-th/9808017] [INSPIRE].
R. Corrado, M. Günaydin, N.P. Warner and M. Zagermann, Orbifolds and flows from gauged supergravity, Phys. Rev. D 65 (2002) 125024 [hep-th/0203057] [INSPIRE].
J. Louis, H. Triendl and M. Zagermann, \( \mathcal{N}=4 \) supersymmetric AdS 5 vacua and their moduli spaces, JHEP 10 (2015) 083 [arXiv:1507.01623] [INSPIRE].
U. Theis and S. Vandoren, Instantons in the double tensor multiplet, JHEP 09 (2002) 059 [hep-th/0208145] [INSPIRE].
L. Andrianopoli, R. D’Auria, P. Giaccone and M. Trigiante, Rotating black holes, global symmetry and first order formalism, JHEP 12 (2012) 078 [arXiv:1210.4047] [INSPIRE].
S.B. Giddings and A. Strominger, String wormholes, Phys. Lett. B 230 (1989) 46 [INSPIRE].
J.M. Maldacena and L. Maoz, Wormholes in AdS, JHEP 02 (2004) 053 [hep-th/0401024] [INSPIRE].
V.A. Rubakov and O. Yu. Shvedov, A negative mode about Euclidean wormhole, Phys. Lett. B 383 (1996) 258 [gr-qc/9604038] [INSPIRE].
T. Hertog, B. Truijen and T. Van Riet, in progress.
M. Kleban, M. Porrati and R. Rabadán, Stability in asymptotically AdS spaces, JHEP 08 (2005) 016 [hep-th/0409242] [INSPIRE].
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ArXiv ePrint: 1702.04622
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Hertog, T., Trigiante, M. & Van Riet, T. Axion wormholes in AdS compactifications. J. High Energ. Phys. 2017, 67 (2017). https://doi.org/10.1007/JHEP06(2017)067
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DOI: https://doi.org/10.1007/JHEP06(2017)067