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Schlagwörter:
High Energy Physics - Theory, hep-th
Zusammenfassung:
In this paper we establish and clarify the link between the recently found E7
generalised geometric structures, which are based on the SU(8) invariant
reformulation of D=11 supergravity proposed long ago, and newer results
obtained in the framework of recent approaches to generalised geometry, where
E7 duality is built in and manifest from the outset. In making this connection,
the so-called generalised vielbein postulate plays a key role. We explicitly
show how this postulate can be used to define an E7 valued affine connection
and an associated covariant derivative, which yields a generalised curvature
tensor for the E7 based exceptional geometry. The analysis of the generalised
vielbein postulate also provides a natural explanation for the emergence of the
embedding tensor from higher dimensions.
