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arXiv · 2404.09658

Scattering on the supermembrane

Fiona K. Seibold·Arkady A. Tseytlin
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Abstract

We compute the one-loop $2 \rightarrow 2$ 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 simply proportional to the tree-level scattering amplitude. We also consider the case of $\mathbb{R}^{1,1} \times S^1$ 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 $\rightarrow 0$.

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Fiona K. Seibold, Arkady A. Tseytlin. 2025-04-29. Scattering on the supermembrane. https://arxiv.org/abs/2404.09658

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