Poisson equation for genus two string invariants: a conjecture

Abstract

We consider some string invariants at genus two that appear in the analysis of the $D^8{\mathcal{R}}^4$ and $D^6{\mathcal{R}}^5$ interactions in type II string theory. We conjecture a Poisson equation involving them and the Kawazumi--Zhang invariant based on their asymptotic expansions around the non--separating node in the moduli space of genus two Riemann surfaces.

arXiv comment14 pages, LaTeX; 3 figures

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Cited by in corpus (3)

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• Modular graph forms from equivariant iterated Eisenstein integrals
• Poincaré series for modular graph forms at depth two. I. Seeds and Laplace systems