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On the modular structure of the genus-one Type II superstring low energy expansion
© 2015, The Author(s). Abstract: The analytic contribution to the low energy expansion of Type II string amplitudes at genus-one is a power series in space-time derivatives with coefficients that are determined by integrals ...
Higher Genus Modular Graph Functions, String Invariants, and their Exact Asymptotics
The concept and the construction of modular graph functions are generalized from genus-one to higher genus surfaces. The integrand of the four-graviton superstring amplitude at genus-two provides a generating function for ...