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A bstractWe obtain a second order differential equation on moduli space satisfied by certain modular graph functions at genus two, each of which has two links. This eigenvalue equation is… Click to show full abstract
A bstractWe obtain a second order differential equation on moduli space satisfied by certain modular graph functions at genus two, each of which has two links. This eigenvalue equation is obtained by analyzing the variations of these graphs under the variation of the Beltrami differentials. This equation involves seven distinct graphs, three of which appear in the integrand of the D8ℛ$$ \mathrm{\mathcal{R}} $$4 term in the low momentum expansion of the four graviton amplitude at genus two in type II string theory.
Keywords:
genus two;
eigenvalue equation;
equation;
two modular;
equation genus
Journal Title: Journal of High Energy Physics
Year Published: 2019
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Journal Title: Journal of High Energy Physics
Year Published: 2019
Link to full text (if available)
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recommendations!