Chiral SUSY Theories with a Suppressed SUSY Charge

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

The SSM with Suppressed SUSY Charge

An earlier paper showed that it is possible to write down new SUSY Actions in which it is not possible to define a Supersymmetry Charge. SUSY is defined in these new Actions by the fact that they satisfy Master Equations. The new SUSY Actions are very easy to write down. One simply takes a Chiral SUSY Action, coupled to Gauge and other Chiral Multiplets, and even SuperGravity, if desired. Then one creates a new Action from this by exchanging all or part of the Scalar Field $S$ for a new Zinn Source $J$, and the corresponding part of the Zinn Source $\Gamma$ for a new Antighost Field $\eta$. Since the original Action satisfies a Master Equation, this exchange guarantees that the new Action will satisfy the new Master Equation. As was shown in the earlier paper, the new multiplets have fewer bosonic degrees of freedom than fermionic degrees of freedom. This is possible because they do not have a Supercharge. The resulting new SSM has no need for Squarks or Sleptons. It does not need spontaneous breaking of SUSY, so that the cosmological constant problem does not arise (at least at tree level). It mimics the usual non-supersymmetric Standard Model very well, and the absence of large flavour changing neutral currents is natural. There is no need for a hidden sector, or a messenger sector, or explicit `soft' breaking of SUSY. Spontaneous Gauge Symmetry Breaking implies the existence of two new very heavy Higgs Bosons with mass 13.4 TeV, slightly smaller than the energy of the LHC at 14 TeV. There is also a curious set of Gauginos and Higgsinos which have exactly the same masses as the Higgs and Gauge Bosons. These do not couple to the Quarks and Leptons, except through the Higgs and Gauge Bosons.Comment: 19 pages. This version contains a better explanation of why and how this theory can exis

An Irreducible Massive Superspin One Half Action Built From the Chiral Dotted Spinor Superfield

Although the chiral dotted spinor superfield should describe a Massive Superspin One Half multiplet, it has not been obvious how to derive this from an action. In this paper this is done by including a chiral undotted spinor superfield, finding the BRST transformations that govern both of these, and then finding the action as an invariant of the transformations. It turns out that both kinds of spinor superfields are needed. Moreover, the BRST transformations for the two kinds of chiral spinor superfields are generated from each other by a special involution that exchanges Grassmann odd (even) sources with Grassmann even (odd) fields.Comment: 13 page

Some Properties of Chiral Dotted Spinor Superfields

Chiral superfields with multiple dotted Lorentz spinor indices (`dotspinors') are important in the analysis of supersymmetry breaking through the mechanisms of Cybersusy. This paper describes the actions for massive dotspinors coupled to supersymmetric gauge theory and to chiral matter. It analyzes the free equations of motion and mass spectra for the case of unbroken supersymmetry. The general form of the Cybersusy algebra for dotsupers with multiple indices is also discussed briefly.Comment: 20 page

CYBERSUSY: A new mechanism for supersymmetry breaking in models like the supersymmetric standard model (SSM)

The SUSY breaking in Cybersusy is proportional to the VEV that breaks the gauge symmetry SU(2) X U(1) down to U(1), and it is rather specific to models like the SSM. Assuming full breaking, as explained below, for the leptons, Cybersusy predicts a spectrum of SUSY breaking that is in accord with experimental results so far. In particular, for the choice of parameters below, Cybersusy predicts that the lowest mass superpartner for the charged leptons is a charged vector boson lepton (the Velectron), which has a mass of 316 Gev . The Selectron has a mass of 771 Gev for that choice of parameters. The theory also leads to a zero cosmological constant after SUSY breaking. The mechanism generates equations that restrict models like the SSM. This version of this paper incorporates recent results and changes discovered subsequent to the talk.Comment: This is a revision of a talk given at SUSY 2009. It incorporates an important set of changes. 4 page