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arXiv · 2506.19817

Open-closed 3d gravity as a random ensemble

Daniel L. Jafferis·Liza Rozenberg·Diandian Wang
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Abstract

We investigate an ensemble of boundary CFTs within the framework of a tensor model recently constructed to model 3d quantum gravity. The incorporation of CFT borders introduces new elements to the gravity theory. In particular, it leads to an open-closed extension of Virasoro TQFT, which in the classical limit gives rise to 3d gravity with tensionful end-of-the-world branes. It also provides predictions for off-shell manifolds with bordered asymptotic boundaries, such as the annulus wormhole. As an application, we construct a purely open variant of the tensor model to study a purely open bootstrap problem in the context of CFT triangulation. We also briefly discuss the extension to non-orientable CFTs.

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Daniel L. Jafferis, Liza Rozenberg, Diandian Wang. 2025-06-24. Open-closed 3d gravity as a random ensemble. https://doi.org/10.1007/jhep10(2025)228

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