A Note on the Supersymmetries of the Self-Dual Supermembrane
E.G. Floratos, G.K. Leontaris
TL;DR
This paper investigates the supersymmetry properties of self-dual supermembranes in specific dimensions, revealing how many supersymmetries are preserved in solutions based on exceptional groups.
Contribution
It analyzes the supersymmetry preservation of self-dual supermembranes in (8+1) and (4+1) dimensions, highlighting the role of the G_2 group and solution-specific supersymmetry preservation.
Findings
Solutions in (8+1) dimensions preserve one of sixteen supersymmetries.
Solutions in (4+1) dimensions preserve eight supersymmetries.
G_2 group plays a key role in the (8+1)-dimensional solutions.
Abstract
In this letter we discuss the supersymmetry issue of the self dual supermembranes in (8+1) and (4+1)-dimensions. We find that all genuine solutions of the (8+1)-dimensional supermembrane, based on the exceptional group G_2, preserve one of the sixteen supersymmetries while all solutions in (4+1)-dimensions preserve eight of them.
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