A Ten-Dimensional Super-Yang-Mills Action with Off-Shell Supersymmetry
Nathan Berkovits
TL;DR
This paper constructs a ten-dimensional super-Yang-Mills action with off-shell supersymmetry by introducing auxiliary fields, achieving a Lorentz-invariant, gauge-invariant formulation with nine supersymmetries closing off-shell, utilizing octonions for symmetry representation.
Contribution
It presents a novel off-shell formulation of ten-dimensional super-Yang-Mills theory with auxiliary fields and explicit off-shell supersymmetry algebra closure.
Findings
Equal number of bosonic and fermionic fields achieved
Nine spacetime supersymmetries with off-shell closure demonstrated
Octonions used to represent supersymmetries effectively
Abstract
After adding seven auxiliary scalar fields, the action for ten-dimensional super-Yang-Mills contains an equal number of bosonic and fermionic non-gauge fields. Besides being manifestly Lorentz and gauge-invariant, this action contains nine spacetime supersymmetries whose algebra closes off-shell. Octonions provide a convenient notation for displaying these symmetries.
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