$E_8$ geometry

Understand

We investigate exceptional generalised diffeomorphisms based on $E_{8(8)}$ in a geometric setting.

• The transformations include gauge transformations for the dual gravity field.
• The surprising key result, which allows for a development of a tensor formalism, is that it is possible to define field-dependent transformations containing connection, which are covariant.
• We solve for the spin connection and construct a curvature tensor.