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Résumé |
In this talk, I will provide evidence for a new kind of universality in CFT2s. We have two conjectures about the behaviour of normalized correlators and of the partition function in the g\rightarrow \infty limit, with g being the genus of the surface we put our CFT on.
Roughly speaking, the statements are the following.
Correlators become constant on moduli space, except for a measure zero set that contains all the physical divergences.
Partition functions do not become constant, but their divergence with the genus is only due to extensivity.
This conjecture is strongly motivated by the simplicity of D-instantons in string theory. Its proof, which we currently have completed for the non-compact free boson, provides via Borel resummation a derivation of the presence of D-instantons from bosonic string perturbation theory.
In this talk, I will state the precise statements of the conjectures and illustrate the mathematical results that support this.
Based on WIP with Lorenz Eberhardt, Kelian Häring and Sebastian Mizera |
