Papers
Topics
Authors
Recent
Search
2000 character limit reached

Wave Packets in AdS/CFT Correspondence

Published 17 Apr 2023 in hep-th and gr-qc | (2304.08478v3)

Abstract: In this paper, we construct a general bulk wave packet in the AdS/CFT correspondence. This wave packet can be described both in bulk and CFT descriptions. Then, we compute the time evolution of the energy density of this wave packet state on the vacuum in the CFT picture of $AdS_3/CFT_2$. We find that the energy density of the wave packet is localized in two points, which means that the bulk wave packet corresponds to two light-like particle-like objects in the CFT picture. Our result implies that the entanglement wedge reconstruction given in [1] is invalid.

Authors (1)
Definition Search Book Streamline Icon: https://streamlinehq.com
References (22)
  1. A. Almheiri, X. Dong, and D. Harlow, “Bulk Locality and Quantum Error Correction in AdS/CFT,” JHEP 04 (2015) 163, arXiv:1411.7041 [hep-th].
  2. J. M. Maldacena, “The Large N limit of superconformal field theories and supergravity,” Adv. Theor. Math. Phys. 2 (1998) 231–252, arXiv:hep-th/9711200.
  3. S. Terashima, “Simple bulk reconstruction in anti-de Sitter/conformal field theory correspondence,” PTEP 2023 no. 5, (2023) 053B02, arXiv:2104.11743 [hep-th].
  4. S. Terashima, “Bulk locality in the AdS/CFT correspondence,” Phys. Rev. D 104 no. 8, (2021) 086014, arXiv:2005.05962 [hep-th].
  5. T. Banks, M. R. Douglas, G. T. Horowitz, and E. J. Martinec, “AdS dynamics from conformal field theory,” arXiv:hep-th/9808016.
  6. S. S. Gubser, I. R. Klebanov, and A. M. Polyakov, “Gauge theory correlators from noncritical string theory,” Phys. Lett. B 428 (1998) 105–114, arXiv:hep-th/9802109.
  7. E. Witten, “Anti-de Sitter space and holography,” Adv. Theor. Math. Phys. 2 (1998) 253–291, arXiv:hep-th/9802150.
  8. A. Belin, D. M. Hofman, and G. Mathys, “Einstein gravity from ANEC correlators,” JHEP 08 (2019) 032, arXiv:1904.05892 [hep-th].
  9. L. Nagano and S. Terashima, “A note on commutation relation in conformal field theory,” JHEP 09 (2021) 187, arXiv:2101.04090 [hep-th].
  10. A. Hamilton, D. N. Kabat, G. Lifschytz, and D. A. Lowe, “Holographic representation of local bulk operators,” Phys. Rev. D 74 (2006) 066009, arXiv:hep-th/0606141.
  11. S. Sugishita and S. Terashima, “Rindler bulk reconstruction and subregion duality in AdS/CFT,” JHEP 11 (2022) 041, arXiv:2207.06455 [hep-th].
  12. N. Iizuka and S. Terashima, “Brick Walls for Black Holes in AdS/CFT,” Nucl. Phys. B 895 (2015) 1–32, arXiv:1307.5933 [hep-th].
  13. G. ’t Hooft, “On the Quantum Structure of a Black Hole,” Nucl. Phys. B 256 (1985) 727–745.
  14. S. D. Mathur, “The Fuzzball proposal for black holes: An Elementary review,” Fortsch. Phys. 53 (2005) 793–827, arXiv:hep-th/0502050.
  15. S. D. Mathur, “The Information paradox: A Pedagogical introduction,” Class. Quant. Grav. 26 (2009) 224001, arXiv:0909.1038 [hep-th].
  16. K. Izumi, T. Shiromizu, K. Suzuki, T. Takayanagi, and N. Tanahashi, “Brane dynamics of holographic BCFTs,” JHEP 10 (2022) 050, arXiv:2205.15500 [hep-th].
  17. V. Benedetti, H. Casini, and P. J. Martinez, “Mutual information of generalized free fields,” Phys. Rev. D 107 no. 4, (2023) 046003, arXiv:2210.00013 [hep-th].
  18. S. Terashima, “AdS/CFT Correspondence in Operator Formalism,” JHEP 02 (2018) 019, arXiv:1710.07298 [hep-th].
  19. S. Kinoshita, K. Murata, and D. Takeda, “Shooting null geodesics into holographic spacetimes,” arXiv:2304.01936 [hep-th].
  20. I. Bena, “On the construction of local fields in the bulk of AdS(5) and other spaces,” Phys. Rev. D 62 (2000) 066007, arXiv:hep-th/9905186.
  21. M. Duetsch and K.-H. Rehren, “Generalized free fields and the AdS - CFT correspondence,” Annales Henri Poincare 4 (2003) 613–635, arXiv:math-ph/0209035.
  22. S. Terashima, “Classical Limit of Large N Gauge Theories with Conformal Symmetry,” JHEP 02 (2020) 021, arXiv:1907.05419 [hep-th].
Citations (5)

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.

Collections

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

Tweets

Sign up for free to view the 1 tweet with 0 likes about this paper.