AdS Euclidean wormholes

Abstract

We explore the construction and stability of asymptotically anti-de Sitter Euclidean wormholes in a variety of models. In simple ad hoc low-energy models, it is not hard to construct two-boundary Euclidean wormholes that dominate over disconnected solutions and which are stable (lacking negative modes) in the usual sense of Euclidean quantum gravity. Indeed, the structure of such solutions turns out to strongly resemble that of the Hawking-Page phase transition for AdS-Schwarzschild black holes, in that for boundary sources above some threshold we find both a `large' and a `small' branch of wormhole solutions with the latter being stable and dominating over the disconnected solution for large enough sources. We are also able to construct two-boundary Euclidean wormholes in a variety of string compactifications that dominate over the disconnected solutions we find and that are stable with respect to field-theoretic perturbations. However, as in classic examples investigated by Maldacena and Maoz, the wormholes in these UV-complete settings always suffer from brane-nucleation instabilities (even when sources that one might hope would stabilize such instabilities are tuned to large values). This indicates the existence of additional disconnected solutions with lower action. We discuss the significance of such results for the factorization problem of AdS/CFT.

88 pages, 16 figures and 1 table

References in corpus (9)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• JT gravity as a matrix integral
• Euclidean Wormholes in String Theory
• An instability of higher-dimensional rotating black holes
• More quantum noise from wormholes
• Euclidean Wormholes and Holography
• Negative modes and the thermodynamics of Reissner-Nordström black holes
• The Power of Action: "The" Derivation of the Black Hole Negative Mode
• The Embedding of Gauged STU Supergravity in Eleven Dimensions

Cited by in corpus (29)

• Semiclassical 3D gravity as an average of large-c CFTs
• Cauchy Slice Holography: A New AdS/CFT Dictionary
• Gravity factorized
• Harnessing S-Duality in $\mathcal{N}=4$ SYM & Supergravity as $SL(2,\mathbb{Z})$-Averaged Strings
• Island for Gravitationally Prepared State and Pseudo Entanglement Wedge
• Wormholes & Holography: An Introduction
• Wormholes without averaging
• Sifting quantum black holes through the principle of least action
• Wormholes from heavy operator statistics in AdS/CFT
• Interacting systems and wormholes
• Alpha states demystified: Towards microscopic models of AdS${}_2$ holography
• Complex Saddles and Euclidean Wormholes in the Lorentzian Path Integral
• A precision test of averaging in AdS/CFT
• Half-wormholes in SYK with one time point
• Half-wormholes in nearly AdS${}_2$ holography
• Axion wormholes with massive dilaton
• Microstructure in matrix elements
• Comments on wormholes and factorization
• Entanglement entropy and vacuum states in Schwarzschild geometry
• Holographic QFTs on AdS${}_d$, wormholes and holographic interfaces
• Gravity without averaging
• Wormhole calculus without averaging from $O(N{)}^{q-1}$ tensor model
• AdS Wormholes from AdS/Ricci-flat Correspondence
• Factorizing Wormholes in a Partially Disorder-Averaged SYK Model
• Baby Universes born from the Void
• A Tale of Two Saddles
• Baby universes, ensemble averages and factorizations with matters
• Euclidean-to-Lorentzian wormhole transition and gravitational symmetry breaking in the Sachdev-Ye-Kitaev model
• A universal sum over topologies in 3d gravity