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Two-sided heat kernel bounds for $\sqrt{8/3}$-Liouville Brownian motion

Liouville Brownian motion (LBM) is the canonical diffusion process on a Liouville quantum gravity (LQG) surface. In this work, we establish upper and lower bounds for the heat kernel for LBM when $γ=\sqrt{8/3}$ in terms of the $\sqrt{8/3}$-LQG metric which are sharp up to a polylogarithmic factor in the exponential.
arxiv.org

Three loop MSbar transversity operator anomalous dimensions for fixed moment n

We compute the anomalous dimensions of the transversity operator at three loops in the MSbar scheme for fixed moment n where n
arxiv.org