Scattering on the supermembrane

Abstract We compute the one-loop 2 → 2 scattering amplitude of massless scalars on the world volume of an infinite D = 11 supermembrane quantized in the static gauge. The resulting expression is manifestly finite and turns out to be much simpler than in the bosonic membrane case in arXiv:2308.12189...

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Bibliographic Details
Main Authors: Fiona K. Seibold, Arkady A. Tseytlin
Format: Article
Language:English
Published: SpringerOpen 2024-08-01
Series:Journal of High Energy Physics
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Online Access:https://doi.org/10.1007/JHEP08(2024)102
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Summary:Abstract We compute the one-loop 2 → 2 scattering amplitude of massless scalars on the world volume of an infinite D = 11 supermembrane quantized in the static gauge. The resulting expression is manifestly finite and turns out to be much simpler than in the bosonic membrane case in arXiv:2308.12189 being proportional to the tree-level scattering amplitude. We also consider the case of ℝ 1, 1 × S 1 membrane with one dimension compactified on a circle of radius R and demonstrate how the supermembrane scattering amplitude reduces to the one on an infinite D = 10 Green-Schwarz superstring in the limit of R→ 0.
ISSN:1029-8479