On the modular structure of the genus-one Type II superstring low energy expansion

@article{DHoker2015OnTM,
  title={On the modular structure of the genus-one Type II superstring low energy expansion},
  author={Eric D’Hoker and Michael Brian Green and Pierre Vanhove},
  journal={Journal of High Energy Physics},
  year={2015},
  volume={2015},
  pages={1-69}
}
A bstractThe 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 of modular functions over the complex structure modulus of the world-sheet torus. These modular functions are associated with world-sheet vacuum Feynman diagrams and given by multiple sums over the discrete momenta on the torus. In this paper we exhibit exact differential and algebraic relations… CONTINUE READING
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