Papers
Topics
Authors
Recent
Search
2000 character limit reached

Matter correlators through a wormhole in double-scaled SYK

Published 1 Dec 2023 in hep-th | (2312.00880v3)

Abstract: We compute the two-point function of matter operators in the double-scaled SYK (DSSYK) model, where the two matter operators are inserted at each end of the cylindrical wormhole. We find that the wormhole amplitude in DSSYK is written as a trace over the chord Hilbert space. We also show that the length of the wormhole is stabilized in the semi-classical limit, by the same mechanism worked for the JT gravity case.

Definition Search Book Streamline Icon: https://streamlinehq.com
References (31)
  1. G. Penington, S. H. Shenker, D. Stanford, and Z. Yang, “Replica wormholes and the black hole interior,” JHEP 03 (2022) 205, arXiv:1911.11977 [hep-th].
  2. A. Almheiri, T. Hartman, J. Maldacena, E. Shaghoulian, and A. Tajdini, “Replica Wormholes and the Entropy of Hawking Radiation,” JHEP 05 (2020) 013, arXiv:1911.12333 [hep-th].
  3. D. Stanford, “More quantum noise from wormholes,” arXiv:2008.08570 [hep-th].
  4. J. de Boer, D. Liska, B. Post, and M. Sasieta, “A principle of maximum ignorance for semiclassical gravity,” arXiv:2311.08132 [hep-th].
  5. M. Sasieta, “Wormholes from heavy operator statistics in AdS/CFT,” JHEP 03 (2023) 158, arXiv:2211.11794 [hep-th].
  6. J. Cotler and K. Jensen, “Gravitational Constrained Instantons,” Phys. Rev. D 104 (2021) 081501, arXiv:2010.02241 [hep-th].
  7. J. Cotler and K. Jensen, “Wormholes and black hole microstates in AdS/CFT,” JHEP 09 (2021) 001, arXiv:2104.00601 [hep-th].
  8. J. Cotler and K. Jensen, “AdS33{}_{3}start_FLOATSUBSCRIPT 3 end_FLOATSUBSCRIPT wormholes from a modular bootstrap,” JHEP 11 (2020) 058, arXiv:2007.15653 [hep-th].
  9. P. Saad, S. H. Shenker, and D. Stanford, “A semiclassical ramp in SYK and in gravity,” arXiv:1806.06840 [hep-th].
  10. P. Saad, S. H. Shenker, D. Stanford, and S. Yao, “Wormholes without averaging,” arXiv:2103.16754 [hep-th].
  11. L. V. Iliesiu, M. Mezei, and G. Sárosi, “The volume of the black hole interior at late times,” JHEP 07 (2022) 073, arXiv:2107.06286 [hep-th].
  12. I. Bah, Y. Chen, and J. Maldacena, “Estimating global charge violating amplitudes from wormholes,” JHEP 04 (2023) 061, arXiv:2212.08668 [hep-th].
  13. Y. Chen and H. W. Lin, “Signatures of global symmetry violation in relative entropies and replica wormholes,” JHEP 03 (2021) 040, arXiv:2011.06005 [hep-th].
  14. P.-S. Hsin, L. V. Iliesiu, and Z. Yang, “A violation of global symmetries from replica wormholes and the fate of black hole remnants,” Class. Quant. Grav. 38 no. 19, (2021) 194004, arXiv:2011.09444 [hep-th].
  15. P. Gao, D. L. Jafferis, and A. C. Wall, “Traversable Wormholes via a Double Trace Deformation,” JHEP 12 (2017) 151, arXiv:1608.05687 [hep-th].
  16. J. Maldacena and X.-L. Qi, “Eternal traversable wormhole,” arXiv:1804.00491 [hep-th].
  17. J. M. Maldacena and L. Maoz, “Wormholes in AdS,” JHEP 02 (2004) 053, arXiv:hep-th/0401024.
  18. P. Saad, S. H. Shenker, and D. Stanford, “JT gravity as a matrix integral,” arXiv:1903.11115 [hep-th].
  19. J. S. Cotler, G. Gur-Ari, M. Hanada, J. Polchinski, P. Saad, S. H. Shenker, D. Stanford, A. Streicher, and M. Tezuka, “Black Holes and Random Matrices,” JHEP 05 (2017) 118, arXiv:1611.04650 [hep-th]. [Erratum: JHEP 09, 002 (2018)].
  20. M. Berkooz, M. Isachenkov, V. Narovlansky, and G. Torrents, “Towards a full solution of the large N double-scaled SYK model,” JHEP 03 (2019) 079, arXiv:1811.02584 [hep-th].
  21. H. W. Lin, “The bulk Hilbert space of double scaled SYK,” JHEP 11 (2022) 060, arXiv:2208.07032 [hep-th].
  22. D. L. Jafferis, D. K. Kolchmeyer, B. Mukhametzhanov, and J. Sonner, “JT gravity with matter, generalized ETH, and Random Matrices,” arXiv:2209.02131 [hep-th].
  23. M. V. Berry, “Semiclassical theory of spectral rigidity,” Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences 400 no. 1819, (1985) 229–251.
  24. P. Saad, “Late Time Correlation Functions, Baby Universes, and ETH in JT Gravity,” arXiv:1910.10311 [hep-th].
  25. A. Blommaert, “Dissecting the ensemble in JT gravity,” JHEP 09 (2022) 075, arXiv:2006.13971 [hep-th].
  26. A. Goel, H. T. Lam, G. J. Turiaci, and H. Verlinde, “Expanding the Black Hole Interior: Partially Entangled Thermal States in SYK,” JHEP 02 (2019) 156, arXiv:1807.03916 [hep-th].
  27. M. Berkooz, M. Isachenkov, P. Narayan, and V. Narovlansky, “Quantum groups, non-commutative A⁢d⁢S2𝐴𝑑subscript𝑆2AdS_{2}italic_A italic_d italic_S start_POSTSUBSCRIPT 2 end_POSTSUBSCRIPT, and chords in the double-scaled SYK model,” arXiv:2212.13668 [hep-th].
  28. K. Okuyama, “End of the world brane in double scaled SYK,” JHEP 08 (2023) 053, arXiv:2305.12674 [hep-th].
  29. K. Okuyama, “Discrete analogue of the Weil-Petersson volume in double scaled SYK,” JHEP 09 (2023) 133, arXiv:2306.15981 [hep-th].
  30. K. Okuyama and T. Suyama, “Solvable limit of ETH matrix model for double-scaled SYK,” arXiv:2311.02846 [hep-th].
  31. “The Wolfram Functions Site: Bessel-Type Functions.” https://functions.wolfram.com/Bessel-TypeFunctions/BesselK/06/02/02/.
Citations (3)

Summary

No one has generated a summary of this paper yet.

Paper to Video (Beta)

No one has generated a video about this paper yet.

Whiteboard

No one has generated a whiteboard explanation for this paper yet.

Open Problems

We haven't generated a list of open problems mentioned in this paper yet.

Continue Learning

We haven't generated follow-up questions for this paper yet.

Authors (1)

Collections

Sign up for free to add this paper to one or more collections.

Tweets

Sign up for free to view the 2 tweets with 0 likes about this paper.