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String equation for conformal loop ensemble on Liouville quantum gravity sphere

Sun, Xin et al.
arXiv (All) · Papers
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mathematical-physicsprobability
Matrix models express partition functions of random surfaces with prescribed boundary lengths through string equations. We give a probabilistic realization of this structure in Liouville quantum gravity (LQG). For $γ^2\in(8/3,4)$, we construct the quantum $n$-hole sphere from a quantum disk decorate
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