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arXiv · 2512.24891

Bubbling wormholes and matrix models

Panos Betzios·Ji Hoon Lee·Olga Papadoulaki·Yanjun Zhou
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Abstract

The thermofield double state entangles two copies of a CFT via a sum over energy eigenstates and is dual to the two-sided eternal black hole. We explore an analogous construction using sums over gauge group representations of half-BPS Wilson loops in multiple copies of $U(N)$ $\mathcal{N}=4$ super Yang-Mills. These sums act as delta function-like operators that correlate the eigenvalues of the corresponding half-BPS matrix models. We suggest that the holographic duals are ''bubbling wormhole'' geometries: multi-covers of AdS$_5$ $\times S^5$ whose conformal boundary consists of multiple four-spheres intersecting on a common circle. We analyze the matrix model free energy, discuss its bulk interpretation, and study probe loops in these backgrounds.

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Panos Betzios, Ji Hoon Lee, Olga Papadoulaki, Yanjun Zhou. 2025-12-31. Bubbling wormholes and matrix models. https://arxiv.org/abs/2512.24891

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