Scattering on the supermembrane

2024/04/15 by Seibold, Fiona K., Tseytlin, Arkady A. · 5 citations
#FOS: Physical sciences #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.2404.09658

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 simply proportional to the tree-level scattering amplitude. We also consider the case of ℝ^1,1 × S¹ 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.

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• On world-volume supersymmetry of supermembrane action in static gauge
• 2-loop free energy of M2 brane in AdS₇ × S⁴ and surface defect anomaly in (2,0) theory
• 2-loop scattering on superstring and supermembrane in flat space
• On world-sheet S-matrix of NSR string in static gauge
• The Manakov-Zakharov-Ward model as an integrable decoupling limit of the membrane

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