# Two-loop superstring five-point amplitudes. Part I. Construction via chiral splitting and pure spinors

@article{Dhoker2020TwoloopSF, title={Two-loop superstring five-point amplitudes. Part I. Construction via chiral splitting and pure spinors}, author={Eric D'hoker and Carlos R Mafra and Boris Pioline and Oliver Schlotterer}, journal={Journal of High Energy Physics}, year={2020}, volume={2020}, pages={135} }

The full two-loop amplitudes for five massless states in Type II and Heterotic superstrings are constructed in terms of convergent integrals over the genus-two moduli space of compact Riemann surfaces and integrals of Green functions and Abelian differentials on the surface. The construction combines elements from the BRST cohomology of the pure spinor formulation and from chiral splitting with the help of loop momenta and homology invariance. The α′ → 0 limit of the resulting superstring…

## 14 Citations

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Abstract
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Two-loop superstring five-point amplitudes. Part II. Low energy expansion and S-duality

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In an earlier paper, we constructed the genus-two amplitudes for five external massless states in Type II and Heterotic string theory, and showed that the α′ expansion of the Type II…

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