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Two-loop superstring five-point amplitudes III, construction via the RNS formulation: even spin structures

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arxiv 2108.01104 v4 pith:FYRCWA62 submitted 2021-08-02 hep-th

Two-loop superstring five-point amplitudes III, construction via the RNS formulation: even spin structures

classification hep-th
keywords amplitudechiralarxivconstructionevenexternalformulationgenus-two
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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 RNS formulation. Using chiral splitting with the help of loop momenta this problem reduces to the evaluation of the corresponding chiral amplitude, which is carried out using the same techniques that were used for the genus-two amplitude with four external NS states. The results agree with the parity-even NS components of a construction using chiral splitting and pure spinors given in earlier companion papers arXiv:2006.05270 and arXiv:2008.08687.

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