Tree-level superstring amplitudes: the Neveu-Schwarz sector

Abstract 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 $$ {\mathcal{M}}_{0,n,0} $$ of super Riemann su...

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Bibliographic Details
Main Authors: Sergio L. Cacciatori, Samuel Grushevsky, Alexander A. Voronov
Format: Article
Language:English
Published: SpringerOpen 2024-09-01
Series:Journal of High Energy Physics
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Online Access:https://doi.org/10.1007/JHEP09(2024)008
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Summary:Abstract 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 $$ {\mathcal{M}}_{0,n,0} $$ 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 $$ {\mathcal{M}}_{0,n,0} $$ , 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 $$ {\mathcal{M}}_{0,0,n} $$ , to derive explicit tree-level scattering amplitudes with Ramond insertions.
ISSN:1029-8479