- Open Access
Traversable wormhole with double trace deformations via gravitational shear and sound channels
Phys. Rev. D 113, 126002 – Published 3 June, 2026
DOI: https://doi.org/10.1103/4rqm-nmx9
Abstract
We investigate how nonlocal gravitational couplings from double trace deformation between two asymptotic boundaries of an black-brane can lead to the violation of the averaged null energy condition (ANEC). The first-order gravitational perturbations backreact with the background metric at second order, creating a wormhole opening in the context of the Gao-Jafferis-Wall traversable wormhole protocol. The wormhole becomes traversable in both the gravitational shear and sound channels within the hydrodynamic approximation. This shows that dynamical metric perturbations can facilitate information transfer in a purely gravitational setting, with the emergence of indicating the gravitational origin. For the shear channel, we consider three different coupling configurations, whereas for the sound channel, we vary both the speed of sound and the attenuation constant, as these parameters control the wormhole traversability. Furthermore, we obtain a late-time power-law factor in the ANEC using the fitting function and present a generalization that applies to both shear and sound channels. Due to its propagating nature, the sound channel exhibits late-time power-law remnants at low sound speed similar to the vector diffusive probes, but it prefers an exponential decay at higher sound speed similar to the scalar nondiffusive probes, as the power-law exponent weakened with increasing sound speed. For superluminal sound channels, the wormhole opens for an extremely brief duration at late insertion times, rendering it nontraversable.
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References (70)
- J. Maldacena, The large-n limit of superconformal field theories and supergravity, Int. J. Theor. Phys. 38, 1113 (1999).
- E. Witten, Anti de Sitter space and holography, Adv. Theor. Math. Phys. 2, 253 (1998).
- J. Maldacena, Eternal black holes in anti-de Sitter, J. High Energy Phys. 04 (2003) 021.
- T. Hartman and J. Maldacena, Time evolution of entanglement entropy from black hole interiors, J. High Energy Phys. 05 (2013) 014.
- J. Maldacena and L. Susskind, Cool horizons for entangled black holes, Fortschr. Phys. 61, 781 (2013).
- L. Susskind, Entanglement is not enough, Fortschr. Phys. 64, 49 (2016).
- L. Susskind, , GHZ, and the consistency of quantum measurements, Fortschr. Phys. 64, 72 (2016).
- H. Gharibyan and R. F. Penna, Are entangled particles connected by wormholes? Evidence for the conjecture from entropy inequalities, Phys. Rev. D 89, 066001 (2014).
- N. Bao, J. Pollack, and G. N. Remmen, Wormhole and entanglement (non-)detection in the correspondence, J. High Energy Phys. 11 (2015) 126.
- G. N. Remmen, N. Bao, and J. Pollack, Entanglement conservation, , and a new classical area theorem for wormholes, J. High Energy Phys. 07 (2016) 048.
- D.-C. Dai, D. Minic, D. Stojkovic, and C. Fu, Testing the conjecture, Phys. Rev. D 102, 066004 (2020).
- B. Kain, Probing the connection between entangled particles and wormholes in general relativity, Phys. Rev. Lett. 131, 101001 (2023).
- P. Gao, D. L. Jafferis, and A. C. Wall, Traversable wormholes via a double trace deformation, J. High Energy Phys. 12 (2017) 151.
- B. Ahn, V. Jahnke, S.-E. Bak, and K.-Y. Kim, Traversable wormholes via a double trace deformation involving conserved current operators, Phys. Rev. D 109, 066016 (2024).
- A. Kundu, Wormholes and holography: An introduction, Eur. Phys. J. C 82, 447 (2022).
- E. Witten, Multi-trace operators, boundary conditions, and AdS/CFT correspondence, arXiv:hep-th/0112258.
- A. Allais, Double-trace deformations, holography and the c-conjecture, J. High Energy Phys. 11 (2010) 040.
- S. Nojiri, S. D. Odintsov, and V. Folomeev, Wormholes inside stars and black holes, Phys. Rev. D 109, 104007 (2024).
- J. Maldacena, D. Stanford, and Z. Yang, Diving into traversable wormholes, Fortschr. Phys. 65, 1700034 (2017).
- P. Gao and D. L. Jafferis, A traversable wormhole teleportation protocol in the SYK model, J. High Energy Phys. 07 (2021) 097.
- J. Maldacena and D. Stanford, Remarks on the Sachdev-Ye-Kitaev model, Phys. Rev. D 94, 106002 (2016).
- T. Schuster, B. Kobrin, P. Gao, I. Cong, E. T. Khabiboulline, N. M. Linke, M. D. Lukin, C. Monroe, B. Yoshida, and N. Y. Yao, Many-body quantum teleportation via operator spreading in the traversable wormhole protocol, Phys. Rev. X 12, 031013 (2022).
- A. R. Brown, H. Gharibyan, S. Leichenauer, H. W. Lin, S. Nezami, G. Salton, L. Susskind, B. Swingle, and M. Walter, Quantum gravity in the lab. I. Teleportation by size and traversable wormholes, PRX Quantum 4, 010320 (2023).
- S. Nezami, H. W. Lin, A. R. Brown, H. Gharibyan, S. Leichenauer, G. Salton, L. Susskind, B. Swingle, and M. Walter, Quantum gravity in the lab. II. Teleportation by size and traversable wormholes, PRX Quantum 4, 010321 (2023).
- D. Jafferis, A. Zlokapa, J. D. Lykken, D. K. Kolchmeyer, S. I. Davis, N. Lauk, H. Neven, and M. Spiropulu, Traversable wormhole dynamics on a quantum processor, Nature (London) 612, 51 (2022).
- B. Kobrin, T. Schuster, and N. Y. Yao, Comment on “traversable wormhole dynamics on a quantum processor”, arXiv:2302.07897.
- G. Cheng and B. Swingle, Scrambling with conservation laws, J. High Energy Phys. 11 (2021) 174.
- R. Verch, The averaged null energy condition for general quantum field theories in two-dimensions, J. Math. Phys. (N.Y.) 41, 206 (2000).
- G. Policastro, D. T. Son, and A. O. Starinets, From AdS/CFT correspondence to hydrodynamics, J. High Energy Phys. 09 (2002) 043.
- C. P. Herzog, Sound of theory, Phys. Rev. D 68, 024013 (2003).
- X.-H. Ge, Y. Matsuo, F.-W. Shu, S.-J. Sin, and T. Tsukioka, Density dependence of transport coefficients from holographic hydrodynamics, Prog. Theor. Phys. 120, 833 (2008).
- Y. Matsuo, S.-J. Sin, S. Takeuchi, T. Tsukioka, and C.-M. Yoo, Sound modes in holographic hydrodynamics for charged AdS black hole, Nucl. Phys. B820, 593 (2009).
- K. Skenderis, Lecture notes on holographic renormalization, Classical Quantum Gravity 19, 5849 (2002).
- S. de Haro, S. N. Solodukhin, and K. Skenderis, Holographic reconstruction of space-time and renormalization in the AdS/CFT correspondence, Commun. Math. Phys. 217, 595 (2001).
- P. K. Kovtun and A. O. Starinets, Quasinormal modes and holography, Phys. Rev. D 72, 086009 (2005).
- M. Natsuume, AdS/CFT duality user guide, Lect. Notes Phys. 903, 1 (2015).
- R. Karlsson, A. Parnachev, V. Prilepina, and S. Valach, Thermal stress tensor correlators, OPE and holography, J. High Energy Phys. 09 (2022) 234.
- S. d. Haro, Dual gravitons in and the holographic Cotton tensor, J. High Energy Phys. 01 (2009) 042.
- B. Freivogel, D. A. Galante, D. Nikolakopoulou, and A. Rotundo, Traversable wormholes in AdS and bounds on information transfer, J. High Energy Phys. 01 (2020) 050.
- P. Kovtun and L. G. Yaffe, Hydrodynamic fluctuations, long-time tails, and supersymmetry, Phys. Rev. D 68, 025007 (2003).
- S. Caron-Huot and O. Saremi, Hydrodynamic long-time tails from anti de Sitter space, J. High Energy Phys. 11 (2010) 013.
Please refer to Appendix B of [27].
- J. Couch, S. Eccles, P. Nguyen, B. Swingle, and S. Xu, Speed of quantum information spreading in chaotic systems, Phys. Rev. B 102, 045114 (2020).
- S. H. Shenker and D. Stanford, Black holes and the Butterfly effect, J. High Energy Phys. 03 (2014) 067.
- D. A. Roberts, D. Stanford, and L. Susskind, Localized shocks, J. High Energy Phys. 03 (2015) 051.
- D. A. Roberts and B. Swingle, Lieb-Robinson bound and the Butterfly effect in quantum field theories, Phys. Rev. Lett. 117, 091602 (2016).
- V. Jahnke, Delocalizing entanglement of anisotropic black branes, J. High Energy Phys. 01 (2018) 102.
- H. L. Prihadi, F. P. Zen, D. Dwiputra, and S. Ariwahjoedi, Localized chaos due to rotating shock waves in Kerr–AdS black holes and their ultraspinning version, Gen. Relativ. Gravit. 56, 90 (2024).
- D. Wang and Z.-Y. Wang, Higher-spin localized shocks, Phys. Rev. D 112, 066006 (2025).
- V. Jahnke, Recent developments in the holographic description of quantum chaos, Adv. High Energy Phys. 2019, 9632708 (2019).
- Z. Bern, Perturbative quantum gravity and its relation to gauge theory, Living Rev. Relativity 5, 5 (2002).
- E. Álvarez, Windows on quantum gravity, Fortschr. Phys. 69, 2000080 (2020).
- J. N. Laia and D. Tong, A holographic flat band, J. High Energy Phys. 11 (2011) 125.
- B. R. Iyer and A. Kumar, Note on the absence of massive fermion superradiance from a Kerr black hole, Phys. Rev. D 18, 4799 (1978).
- M. Martellini and A. Treves, Absence of superradiance of a Dirac field in a Kerr background, Phys. Rev. D 15, 3060 (1977).
- R. Bilotta, A traversable wormhole from the Kerr black hole, arXiv:2304.07356.
- S. Hartnoll, G. Horowitz, J. Kruthoff, and J. Santos, Diving into a holographic superconductor, SciPost Phys. 10, 009 (2021).
- R.-G. Cai, C. Ge, L. Li, and R.-Q. Yang, Inside anisotropic black hole with vector hair, J. High Energy Phys. 02 (2022) 139.
- R.-G. Cai, M.-N. Duan, L. Li, and F.-G. Yang, Towards classifying the interior dynamics of charged black holes with scalar hair, J. High Energy Phys. 02 (2024) 169.
- H. L. Prihadi, D. Dwiputra, F. Khairunnisa, and F. P. Zen, Scrambling in charged hairy black holes and the Kasner interior, Eur. Phys. J. C 85, 946 (2025).
- H. L. Prihadi, R. R. Firdaus, F. Khairunnisa, D. Dwiputra, and F. P. Zen, Stationary solution to charged hairy black hole in : Kasner interior, rotating shock waves, and fast scrambling, Eur. Phys. J. C 85, 1228 (2025).
- Y. Xu, L. Li, and W.-J. Li, Black hole interiors of homogeneous holographic solids under shear strain, J. High Energy Phys. 02 (2026) 079.
- V. Malvimat and R. R. Poojary, Fast scrambling due to rotating shockwaves in BTZ, Phys. Rev. D 105, 126019 (2022).
- H. L. Prihadi, F. P. Zen, D. Dwiputra, and S. Ariwahjoedi, Chaos and fast scrambling delays of a dyonic Kerr-Sen-AdS black hole and its ultraspinning version, Phys. Rev. D 107, 124053 (2023).
- M. Z. Djogama, M. F. A. R. Sakti, F. P. Zen, and M. Satriawan, Near-extremal Kerr-like ECO in the Kerr/CFT correspondence in higher spin perturbations, Eur. Phys. J. C 84, 777 (2024).
- K. Sato and J. Yokoyama, Inflationary cosmology: First 30+ years, Int. J. Mod. Phys. D 24, 1530025 (2015), review Paper.
- Z. Chang, X. Zhang, and J.-Z. Zhou, Gravitational waves from primordial scalar and tensor perturbations, Phys. Rev. D 107, 063510 (2023).
- P. Betzios and O. Papadoulaki, Inflationary cosmology from anti-de Sitter wormholes, Phys. Rev. Lett. 133, 021501 (2024).
- A. Cavallo, F. Cosenza, and L. De Cesare, Two-time Green’s functions and spectral density method in nonextensive quantum statistical mechanics, Phys. Rev. E 77, 051110 (2008).
- J.-T. Hsiang, H.-T. Cho, and B.-L. Hu, Graviton physics: A concise tutorial on the quantum field theory of gravitons graviton noise, and gravitational decoherence, Universe 10, 306 (2024).