Half-wormholes in nearly AdS${}_2$ holography

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.

38 pages, v2: minor clarifications, published version

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• Entanglement Phase Structure of a Holographic BCFT in a Black Hole Background
• BCFT in a Black Hole Background: An Analytical Holographic Model
• Keldysh Wormholes and Anomalous Relaxation in the Dissipative Sachdev-Ye-Kitaev Model
• Spectral form factor for free large $N$ gauge theory and strings
• Comments on wormholes and factorization
• Toward a classification of PT-symmetric quantum systems: From dissipative dynamics to topology and wormholes
• Entropy of Radiation with Dynamical Gravity
• $Ad{S}_2$ holography and ModMax
• Factorizing Wormholes in a Partially Disorder-Averaged SYK Model
• A Tale of Two Saddles
• Replicas, averaging and factorization in the IIB matrix model
• Euclidean-to-Lorentzian wormhole transition and gravitational symmetry breaking in the Sachdev-Ye-Kitaev model