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Scattering on the supermembrane

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arxiv 2404.09658 v5 pith:URIBAHTI submitted 2024-04-15 hep-th

classification hep-th
keywords scatteringamplitudesupermembranecaseinfinitemembranerightarrowarxiv
verification ladder T0 review T1 audit T2 compute T3 formal
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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. 2-loop free energy of M2 brane in AdS$_7 \times$ S$^4$ and surface defect anomaly in (2,0) theory

    hep-th 2025-11 conditional novelty 7.0 of 10

    The 2-loop (1/N) correction to the M2-brane free energy in AdS7×S4 vanishes in dimensional and ζ-function regularizations, so the boundary defect anomaly is b = 12N − 9, supporting the U(N) (2,0) interpretation.

  2. On world-sheet S-matrix of NSR string in static gauge

    hep-th 2025-05 conditional novelty 6.0 of 10

    The NSR spinning string is shown, in static gauge, to produce the same one-loop world-sheet S-matrix as the GS superstring, via a new elimination of auxiliary supergravity fields.

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