Covariant ansatz

This leads to the following covariant ansatz, which works uniformly for all states in :

    (3)

where:
  • is a vector parametrizing a state; is the space of states

  • is some vector in the space dual to

  • In fact super- is parametrized not by but rather by an element of , which is modulo gauge transformation . For (3) to be invariant under this gauge transformation we require that:

        (4)

    for .