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Citation

BibTex format

@article{Tseytlin:2026:10.1098/rspa.2025.1058,
author = {Tseytlin, AA and Wang, Z},
doi = {10.1098/rspa.2025.1058},
journal = {Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences},
title = {On world-volume supersymmetry of supermembrane action in static gauge},
url = {http://dx.doi.org/10.1098/rspa.2025.1058},
volume = {482},
year = {2026}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - We review and elaborate on the issue of three-dimensional (3D) world-volume supersymmetry that appears as a residual part of global target space supersymmetry in the Bergshoeff–Sezgin–Townsend (BST) supermembrane action. While there is no direct ‘spinning membrane’ analogue of the world-volume supersymmetric spinning string action that could be obtained by coupling (Formula presented) copies of 3D scalar multiplet to 3D supergravity, we discuss how one may construct an (Formula presented) 3D supersymmetric analogue of the derivative expansion of the bosonic membrane action in static gauge. We compare the resulting (Formula presented) supersymmetric action for eight 3D scalar multiplets to the (Formula presented) 3D supersymmetric action describing the (Formula presented) supermembrane in the static gauge. The two actions are not equivalent which is related to the fact that the full (Formula presented) supersymmetry of the static-gauge (Formula presented) supermembrane action can be realized only if the fermions are described by an (Formula presented) spinor rather than vector. The two actions are still directly related in special dimensions (Formula presented) and 5. We also compute the one-loop world-volume scattering amplitudes for the two theories finding that they indeed agree for (Formula presented) but disagree for (Formula presented).
AU  - Tseytlin,AA
AU  - Wang,Z
DO  - 10.1098/rspa.2025.1058
PY  - 2026///
SN  - 1364-5021
TI  - On world-volume supersymmetry of supermembrane action in static gauge
T2  - Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences
UR  - http://dx.doi.org/10.1098/rspa.2025.1058
VL  - 482
ER  -
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