Metric gluing of Brownian and $\sqrt{8/3}$-Liouville quantum gravity surfaces
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Abstract
In a recent series of works, Miller and Sheffield constructed a metric on
We identify the metric gluings of certain collections of independent
Our results imply in particular that the metric gluing of two independent instances of the Brownian half-plane along their positive boundaries is isometric to a certain LQG wedge decorated by an independent chordal SLE
Combined with another work of the authors, the present work identifies the scaling limit of self-avoiding walk on random quadrangulations with SLE
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2168-894X