Scattering on the supermembrane
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866915264440827904 |
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| author | Seibold, Fiona K. Tseytlin, Arkady A. |
| author_facet | Seibold, Fiona K. Tseytlin, Arkady A. |
| contents | 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 $\rightarrow 0$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_09658 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Scattering on the supermembrane Seibold, Fiona K. Tseytlin, Arkady A. High Energy Physics - Theory 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 $\rightarrow 0$. |
| title | Scattering on the supermembrane |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2404.09658 |