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… 
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References

SHOWING 1-10 OF 111 REFERENCES
Two-loop superstring five-point amplitudes. Part III. Construction via the RNS formulation: even spin structures
Abstract The contribution from even spin structures to the genus-two amplitude for five massless external NS states in Type II and Heterotic superstrings is evaluated from first principles in the
Two-loop superstring five-point amplitudes. Part II. Low energy expansion and S-duality
Abstract 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
Towards the n-point one-loop superstring amplitude. Part III. One-loop correlators and their double-copy structure
Abstract In this final part of a series of three papers, we will assemble supersymmetric expressions for one-loop correlators in pure-spinor superspace that are BRST invariant, local, and single
Two-loop Yang-Mills diagrams from superstring amplitudes
A bstractStarting from the superstring amplitude describing interactions among D-branes with a constant world-volume field strength, we present a detailed analysis of how the open string degeneration
Modular properties of two-loop maximal supergravity and connections with string theory
The low-momentum expansion of the two-loop four-graviton scattering amplitude in eleven-dimensional supergravity compactified on a circle and a two-torus is considered up to terms of order S6 4
The two-loop superstring five-point amplitude and S-duality
The low-energy limit of the massless two-loop five-point amplitudes for both type IIA and type IIB superstrings is computed with the pure spinor formalism and its overall coefficient determined from
Multi-loop amplitudes in maximally supersymmetric pure spinor field theory
This paper provides a more detailed background concerning the previously obtained properties of multi-loop amplitudes in a pure spinor formulation of field theories with maximal supersymmetry. This
...
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