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arXiv · hep-th/0212219

Two-Loop Superstrings in Hyperelliptic Language III: the Four-Particle Amplitude

Zhu-Jun Zheng·Jun-Bao Wu·Chuan-Jie Zhu
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Abstract

We compute explicitly the four-particle amplitude in superstring theories by using the hyperelliptic language and the newly obtained chiral measure of D'Hoker and Phong. Although the algebra of the intermediate steps is a little bit involved, we obtain a quite simple expression for the four-particle amplitude. As expected, the integrand is independent of all the insertion points. As an application of the obtained result, we show that the perturbative correction to the $R^4$ term in type II superstring theories is vanishing point-wise in (even) moduli space at two loops.

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Zhu-Jun Zheng, Jun-Bao Wu, Chuan-Jie Zhu. 2003-01-02. Two-Loop Superstrings in Hyperelliptic Language III: the Four-Particle Amplitude. https://doi.org/10.1016/s0550-3213(03)00381-x

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