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Tree-level superstring amplitudes: the Neveu-Schwarz sector

A bstract We present a complete computation of superstring scattering amplitudes at tree level, for the case of Neveu-Schwarz insertions. Mathematically, this is to say that we determine explicitly the superstring measure on the moduli space M 0 , n , 0 of super Riemann surfaces of genus zero with n...

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Bibliographic Details
Published in:The journal of high energy physics 2024-09, Vol.2024 (9), p.8-32, Article 8
Main Authors: Cacciatori, Sergio L., Grushevsky, Samuel, Voronov, Alexander A.
Format: Article
Language:English
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Summary:A bstract We present a complete computation of superstring scattering amplitudes at tree level, for the case of Neveu-Schwarz insertions. Mathematically, this is to say that we determine explicitly the superstring measure on the moduli space M 0 , n , 0 of super Riemann surfaces of genus zero with n ≥ 3 Neveu-Schwarz punctures. While, of course, an expression for the measure was previously known, we do this from first principles, using the canonically defined super Mumford isomorphism [1]. We thus determine the scattering amplitudes, explicitly in the global coordinates on M 0 , n , 0 , without the need for picture changing operators or ghosts, and are also able to determine canonically the value of the coupling constant. Our computation should be viewed as a step towards performing similar analysis on M 0 , 0 , n , to derive explicit tree-level scattering amplitudes with Ramond insertions.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP09(2024)008