The well-known Chiral and Gauge SUSY Actions realize the SUSY charge in terms
of transformations among the Fields. These transformations are included in the
Master Equation by coupling them to Sources. Here we show that there are new
local SUSY Actions where the Chiral SUSY transformations are realized in terms
of transformations among both Fields and Sources. These Actions can be easily
obtained from the Chiral case by a very simple and local `Exchange
Transformation', which carries along all the interactions without difficulty.
For these new SUSY Actions, the SUSY charge does not exist in the relevant
sector, because Sources do not satisfy Equations of Motion.
Nevertheless, the `Exchange Transformation' ensures that the new Master
Equation is true for the new Action. As a consequence, the Master Equation also
is true for the new 1PI Generating Functional. This implies that a `Suppressed
SUSY Charge' version of SUSY is still present. SUSY certainly becomes more
obscure and less constrained in this case. But it is still very restrictive.
The new theories can be obtained from the old theories by using a special
technique, but it is not true that they are a sort of `broken version of
supersymmetry'. They are simply a new type of theory that is governed by
Supersymmetry, but without the use of Supercharges (except perhaps in some
sectors).
In particular the number of physical Bosonic and Fermionic degrees of Freedom
are not equal for these new (sub)-Actions, although there is still
Boson/Fermion mass degeneracy in a (sub)-Action, so long as there is still a
Boson present. Notably, there is even a SUSY (sub)-Action where the physical
Scalars are not present, so that the (sub)-Action contains physical Fermions
only. In this theory the degeneracy of Bosonic and Fermionic masses is
obviously not present.Comment: 21 pages This version has a better explanation of how and why these
new representations of SUSY can and do exist, without contradicting the known
results in SUSY theor