Specifically, the word composite refers to a composed form of the USp(8) connection Qμab. It depends on a vielbein VABab and a connection AμIJ, see eq. (4.3) in Ref. 1 for details.
Here the index μ is a 5-dimensional spacetime index; the indices AB refer to the ¯27 of E6(6); the indices ab refer to the 27 of USp(8)⊆E6(6); the indices IJ refer to SL(6,R)⊆E6(6).
References:
- M. Gunaydin, L.J. Romans and N.P. Warner, Compact and non-compact gauged supergravity theories in five dimensions, Nucl. Phys. B272 (1986) 598.
This post imported from StackExchange Physics at 2015-02-10 11:06 (UTC), posted by SE-user Qmechanic