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High Energy Physics - Theory

arXiv:2108.01104 (hep-th)
[Submitted on 2 Aug 2021 (v1), last revised 24 Jul 2022 (this version, v4)]

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

Authors:Eric D'Hoker, Oliver Schlotterer
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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 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.
Comments: 93+59 pages, 1 figure; v2: minor touchups; v3: added discussion of overall normalization, to be published in JHEP; v4: corrected misnormalization of parity-odd terms by a factor of 8 in equations (1.11) and (1.12)
Subjects: High Energy Physics - Theory (hep-th)
Cite as: arXiv:2108.01104 [hep-th]
  (or arXiv:2108.01104v4 [hep-th] for this version)
  https://doi.org/10.48550/arXiv.2108.01104
Related DOI: https://doi.org/10.1007/JHEP12%282021%29063

Submission history

From: Oliver Schlotterer [view email]
[v1] Mon, 2 Aug 2021 18:01:40 UTC (101 KB)
[v2] Fri, 8 Oct 2021 07:38:27 UTC (102 KB)
[v3] Sun, 28 Nov 2021 12:11:36 UTC (102 KB)
[v4] Sun, 24 Jul 2022 15:48:25 UTC (102 KB)
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