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- W4307468509 abstract "Let $F_g(t)$ be the generating function of intersection numbers on the moduli spaces $bar{mathcal{M}}_{g,n}$ of complex curves of genus $g$. As by-product of a complete solution of all non-planar correlation functions of the renormalised $Phi^3$-matrical QFT model, we explicitly construct a Laplacian $Delta_t$ on the space of formal parameters $t_i$ satisfying $exp(sum_{ggeq 2} N^{2-2g}F_g(t))=exp((-Delta_t+F_2(t))/N^2)1$ for any $N>0$. The result is achieved via Dyson-Schwinger equations from noncommutative quantum field theory combined with residue techniques from topological recursion. The genus-$g$ correlation functions of the $Phi^3$-matricial QFT model are obtained by repeated application of another differential operator to $F_g(t)$ and taking for $t_i$ the renormalised moments of a measure constructed from the covariance of the model." @default.
- W4307468509 created "2022-11-01" @default.
- W4307468509 creator A5028961771 @default.
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- W4307468509 date "2019-03-29" @default.
- W4307468509 modified "2023-09-23" @default.
- W4307468509 title "A Laplacian to compute intersection numbers on $bar{mathcal{M}}_{g,n}$ and correlation functions in NCQFT" @default.
- W4307468509 doi "https://doi.org/10.48550/arxiv.1903.12526" @default.
- W4307468509 hasPublicationYear "2019" @default.
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