
TL;DR
This paper demonstrates that the equations of motion for eleven-dimensional supergravity can be derived from specific torsion tensor conditions in superspace, using a specialized connection in the relevant Lie algebra.
Contribution
It introduces a connection valued in the Lie algebra of Spin(1,10)×R^+ that simplifies deriving supergravity equations from superspace torsion conditions.
Findings
Equations of motion follow from torsion tensor conditions
Introduction of a new connection in the Lie algebra simplifies derivation
Provides a geometric proof of supergravity equations
Abstract
It is shown that the equations of motion of eleven-dimensional supergravity follow from setting the dimension zero components of the superspace torsion tensor equal to the Dirac matrices. The proof of this assertion is facilitated by the introduction of a connection taking its values in the Lie algebra of .
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