A Caltech Library Service

Product of random states and spatial (half-)wormholes

Goto, Kanato and Kusuki, Yuya and Tamaoka, Kotaro and Ugajin, Tomonori (2021) Product of random states and spatial (half-)wormholes. Journal of High Energy Physics, 2021 (10). Art. No. 205. ISSN 1029-8479. doi:10.1007/jhep10(2021)205.

[img] PDF - Published Version
Creative Commons Attribution.

[img] PDF - Accepted Version
See Usage Policy.


Use this Persistent URL to link to this item:


We study how coarse-graining procedure of an underlying UV-complete quantum gravity gives rise to a connected geometry. It has been shown, quantum entanglement plays a key role in the emergence of such a geometric structure, namely a smooth Einstein-Rosen bridge. In this paper, we explore the possibility of the emergence of similar geometric structure from classical correlation, in the AdS/CFT setup. To this end, we consider a setup where we have two decoupled CFT Hilbert spaces, then choose a random typical state in one of the Hilbert spaces and the same state in the other. The total state in the fine-grained picture is of course a tensor product state, but averaging over the states sharing the same random coefficients creates a geometric connection for simple probes. Then, the apparent spatial wormhole causes a factorization puzzle. We argue that there is a spatial analog of half-wormholes, which resolves the puzzle in the similar way as the spacetime half-wormholes.

Item Type:Article
Related URLs:
URLURL TypeDescription Paper
Goto, Kanato0000-0001-7269-9023
Kusuki, Yuya0000-0002-9784-0975
Tamaoka, Kotaro0000-0002-8051-6247
Ugajin, Tomonori0000-0003-0531-6162
Additional Information:© 2021 The Authors. 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. Article funded by SCOAP3. Received: September 14, 2021; Accepted: October 5, 2021; Published: October 26, 2021. We thank Yasunori Nomura, Masahiro Nozaki, Kenta Suzuki, Tadashi Takayanagi, and Zixia Wei for useful discussion. KG is supported by JSPS Grant-in-Aid for Early-Career Scientists 21K13930. KT is supported by JSPS Grant-in-Aid for Early-Career Scientists 21K13920. TU is supported by JSPS Grant-in-Aid for Young Scientists 19K14716. YK is supported by RIKEN iTHEMS Program, and the RIKEN Special Postdoctoral Researcher program.
Group:Walter Burke Institute for Theoretical Physics
Funding AgencyGrant Number
Japan Society for the Promotion of Science (JSPS)21K13930
Japan Society for the Promotion of Science (JSPS)21K13920
Japan Society for the Promotion of Science (JSPS)19K14716
Subject Keywords:AdS-CFT Correspondence, Black Holes
Issue or Number:10
Record Number:CaltechAUTHORS:20211124-183511245
Persistent URL:
Official Citation:Goto, K., Kusuki, Y., Tamaoka, K. et al. Product of random states and spatial (half-)wormholes. J. High Energ. Phys. 2021, 205 (2021).
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:112047
Deposited By: Tony Diaz
Deposited On:24 Nov 2021 18:47
Last Modified:24 Nov 2021 18:47

Repository Staff Only: item control page