U(N) invariance in extended supergravity
Abstract
U(N) invariance of previously established extended supergravity theories (O(1), O(2), O(3)) is shown to be also compatible with the O(4) theory at the first nontrivial order in the Newton constant. If U(4) invariance remains true to all orders the nonpolynomial feature of this theory is enormously simplified. As an example we determine, to all orders, the nonpolynomial correction to the spin1 kinetic term using some of the constraints of supersymmetry.
 Publication:

Physics Letters B
 Pub Date:
 June 1977
 DOI:
 10.1016/03702693(77)902775
 Bibcode:
 1977PhLB...68..234C