IIB Supergravity and the E6(6) covariant vector-tensor hierarchy

Understand

IIB supergravity is reformulated with a manifest local USp(8) invariance that makes the embedding of five-dimensional maximal supergravities transparent.

• In this formulation the ten-dimensional theory exhibits all the 27 one-form fields and 22 of the 27 two-form fields that are required by the vector-tensor hierarchy of the five-dimensional theory.
• The missing 5 two-form fields must transform in the same representation as a descendant of the ten-dimensional `dual graviton'.
• The invariant E6(6) symmetric tensor that appears in the vector-tensor hierarchy is reproduced.