Abstract
The two-sided BTZ black hole has been instrumental in elucidating several aspects of AdS/CFT. Similarly, multiboundary wormholes provide a useful and rich arena in which probing questions of quantum gravity can be posed and explored. In this work, we find the explicit forms of the Killing vectors needed to construct three-boundary wormholes, with and without rotation, as quotients of AdS3. We ensure that our method captures the full moduli space of such wormholes and elaborate on the generalization of our procedure to more exotic multiboundary spaces, including higher genus.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
K. Skenderis and B.C. van Rees, Holography and wormholes in 2 + 1 dimensions, Commun. Math. Phys. 301 (2011) 583 [arXiv:0912.2090] [INSPIRE].
V. Balasubramanian et al., Multiboundary wormholes and holographic entanglement, Class. Quant. Grav. 31 (2014) 185015 [arXiv:1406.2663] [INSPIRE].
J.M. Maldacena, Eternal black holes in anti-de Sitter, JHEP 04 (2003) 021 [hep-th/0106112] [INSPIRE].
K. Skenderis and B.C. van Rees, Real-time gauge/gravity duality, Phys. Rev. Lett. 101 (2008) 081601 [arXiv:0805.0150] [INSPIRE].
K. Skenderis and B.C. van Rees, Real-time gauge/gravity duality: prescription, renormalization and examples, JHEP 05 (2009) 085 [arXiv:0812.2909] [INSPIRE].
N. Bao et al., The holographic entropy cone, JHEP 09 (2015) 130 [arXiv:1505.07839] [INSPIRE].
Z. Fu et al., Holographic complexity is nonlocal, JHEP 02 (2018) 072 [arXiv:1801.01137] [INSPIRE].
P. Gao, D.L. Jafferis and A.C. Wall, Traversable wormholes via a double trace deformation, JHEP 12 (2017) 151 [arXiv:1608.05687] [INSPIRE].
J. Maldacena, D. Stanford and Z. Yang, Diving into traversable wormholes, Fortsch. Phys. 65 (2017) 1700034 [arXiv:1704.05333] [INSPIRE].
Z. Fu, B. Grado-White and D. Marolf, A perturbative perspective on self-supporting wormholes, Class. Quant. Grav. 36 (2019) 045006 [Erratum ibid. 36 (2019) 249501] [arXiv:1807.07917] [INSPIRE].
E. Caceres, A.S. Misobuchi and M.-L. Xiao, Rotating traversable wormholes in AdS, JHEP 12 (2018) 005 [arXiv:1807.07239] [INSPIRE].
D.R. Brill, Multi-black hole geometries in (2 + 1)-dimensional gravity, Phys. Rev. D 53 (1996) 4133 [gr-qc/9511022] [INSPIRE].
S. Aminneborg et al., Black holes and wormholes in (2 + 1)-dimensions, Class. Quant. Grav. 15 (1998) 627 [gr-qc/9707036] [INSPIRE].
D. Brill, Black holes and wormholes in (2 + 1)-dimensions, gr-qc/9904083 [INSPIRE].
M. Bañados, M. Henneaux, C. Teitelboim and J. Zanelli, Geometry of the (2 + 1) black hole, Phys. Rev. D 48 (1993) 1506 [Erratum ibid. D 88 (2013) 069902] [gr-qc/9302012] [INSPIRE].
D. Anninos, W. Li, M. Padi, W. Song and A. Strominger, Warped AdS3 black holes, JHEP 03 (2009) 130 [arXiv:0807.3040] [INSPIRE].
F. Jugeau, G. Moutsopoulos and P. Ritter, From accelerating and Poincaré coordinates to black holes in spacelike warped AdS3 and back, Class. Quant. Grav. 28 (2011) 035001 [arXiv:1007.1961] [INSPIRE].
S. Aminneborg, I. Bengtsson and S. Holst, A spinning Anti-de Sitter wormhole, Class. Quant. Grav. 16 (1999) 363 [gr-qc/9805028] [INSPIRE].
K. Krasnov, Analytic continuation for asymptotically AdS 3D gravity, Class. Quant. Grav. 19 (2002) 2399 [gr-qc/0111049] [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: 1912.08793
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
Caceres, E., Kundu, A., Patra, A.K. et al. A Killing vector treatment of multiboundary wormholes. J. High Energ. Phys. 2020, 149 (2020). https://doi.org/10.1007/JHEP02(2020)149
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP02(2020)149