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A universe field theory for JT gravity

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arxiv 2201.08859 v1 pith:KQGUKQFD submitted 2022-01-21 hep-th

classification hep-th
keywords theorygravityfielddescriptionintegralnon-perturbativepathtopological
verification ladder T0 review T1 audit T2 compute T3 formal
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We present a field theory description for the non-perturbative splitting and joining of baby universes in Euclidean Jackiw-Teitelboim (JT) gravity. We show how the gravitational path integral, defined as a sum over topologies, can be reproduced from the perturbative expansion of a Kodaira-Spencer (KS) field theory for the complex structure deformations of the spectral curve. We use that the Schwinger-Dyson equations for the KS theory can be mapped to the topological recursion relations. We refer to this dual description of JT gravity as a `universe field theory'. By introducing non-compact D-branes in the target space geometry, we can probe non-perturbative aspects of JT gravity. The relevant operators are obtained through a modification of the JT path integral with Neumann boundary conditions. The KS/JT identification suggests that the ensemble average for JT gravity can be understood in terms of a more standard open/closed duality in topological string theory.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. The universality class of the first levels in low-dimensional gravity

    hep-th 2025-05 conditional novelty 7.0 of 10

    Near-edge states in dense chaotic systems and in JT gravity have a universal, analytically computed fidelity susceptibility distribution that is heavy-tailed yet parametrically more rigid than bulk states.

  2. The $\alpha$-states of a string worldsheet

    hep-th 2026-07 conditional novelty 6.0 of 10

    The α-states of the Hurwitz worldsheet are symmetric-group characters weighted by the Poissonized Plancherel measure, so string amplitudes are ensemble averages whose weak-coupling limit is Kerov's central limit theorem.

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