Half-wormholes in nearly AdS$_2$ holography

Garcia-Garcia, Antonio; Godet, Victor

doi:10.21468/SciPostPhys.12.4.135

SciPost Physics

Half-wormholes in nearly AdS$_2$ holography

Antonio M. García-García, Victor Godet

SciPost Phys. 12, 135 (2022) · published 20 April 2022

doi: 10.21468/SciPostPhys.12.4.135
pdf
Submissions/Reports

Abstract

We find half-wormhole solutions in Jackiw-Teitelboim gravity by allowing the geometry to end on a spacetime D-brane with specific boundary conditions. This theory also contains a Euclidean wormhole which leads to a factorization problem. We propose that half-wormholes provide a gravitational picture for how factorization is restored and show that the Euclidean wormhole emerges from averaging over the boundary conditions. The wormhole is known to be dual to a Sachdev-Ye-Kitaev (SYK) model with random complex couplings. We find that the free energy of the half-wormhole is strikingly similar to that of a single realization of this SYK model. These results suggest that the gravitational path integral computes an average over spacetime D-brane boundary conditions.

TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.12.4.135
TI  - Half-wormholes in nearly AdS$_2$ holography
PY  - 2022/04/20
UR  - https://www.scipost.org/SciPostPhys.12.4.135
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 12
IS  - 4
SP  - 135
A1  - Garcia-Garcia, Antonio
AU  - Godet, Victor
AB  - We find half-wormhole solutions in Jackiw-Teitelboim gravity by allowing the geometry to end on a spacetime D-brane with specific boundary conditions. This theory also contains a Euclidean wormhole which leads to a factorization problem. We propose that half-wormholes provide a gravitational picture for how factorization is restored and show that the Euclidean wormhole emerges from averaging over the boundary conditions. The wormhole is known to be dual to a Sachdev-Ye-Kitaev (SYK) model with random complex couplings. We find that the free energy of the half-wormhole is strikingly similar to that of a single realization of this SYK model. These results suggest that the gravitational path integral computes an average over spacetime D-brane boundary conditions.
ER  -

@Article{10.21468/SciPostPhys.12.4.135,
	title={{Half-wormholes in nearly AdS$_2$ holography}},
	author={Antonio M. García-García and Victor Godet},
	journal={SciPost Phys.},
	volume={12},
	pages={135},
	year={2022},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.12.4.135},
	url={https://scipost.org/10.21468/SciPostPhys.12.4.135},
}

Cited by 12

Authors / Affiliations: mappings to Contributors and Organizations

See all Organizations.

¹ Antonio Garcia-Garcia,
² Victor Godet

Funders for the research work leading to this publication

Department of Atomic Energy, Government of India
National Key Research and Development Program of China (through Organization: Ministry of Science and Technology of the People's Republic of China [MOST])
National Natural Science Foundation of China [NSFC]