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Two-loop superstring five-point amplitudes. Part III. Construction via the RNS formulation: even spin structures

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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… Click to show full abstract

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 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 [29] and [33].

Keywords: loop superstring; spin structures; rns formulation; even spin; construction; two loop

Journal Title: Journal of High Energy Physics
Year Published: 2021

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