An irreducible massive superspin one half action built from the chiral dotted spinor superfield

Dixon, John

doi:10.1016/j.physletb.2015.03.059

Cited by 5 publications

(30 citation statements)

References 18 publications

(27 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The point is that this opens up a new view on SUSY. The simplest such new object is evidently a Chiral Dotted Spinor Superfield [15]. But then the question is whether such an object makes sense by itself, and the answer has been discouraging for a long time.…”

Section: Brst Cohomology Of the Chiral Multipletmentioning

confidence: 99%

“…The most obvious Action for the Chiral Dotted Spinor Superfield has higher derivatives and also tachyons. But recently some progress was made on this problem [15,16,17]. A tachyon free Action for the Irreducible Chiral Dotted Spinor Superfield was found and used in a free theory 5 .…”

Section: Brst Cohomology Of the Chiral Multipletmentioning

confidence: 99%

“…Next we consider the simplest example of a Majorana Irreducible Chiral Dotted Spinor Supermultiplet. It is the Majorana version of the Dirac type theory 11 that was discussed in [15,16,17]. We will use the notation of [15].…”

Section: The Majorana Irreducible Chiral Dotted Spinor Supermultipletmentioning

confidence: 99%

“…A large body of SUSY work has, understandably, focussed on phenomenology and experimental signals, while leaving the problems of the origin of the spectrum of mass splitting for future work [12,13,14]. The progress reported in this paper is the direct result of a study of the algebraic problem of the local BRST cohomology of the Chiral Multiplet [15,16,17], which examined the solution to the tachyon problem. Previous work, troubled by the tachyon problem, was in [18,19,20,21,22,23] 3.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Chiral SUSY theories with a suppressed SUSY charge

Dixon

2016

Physics Letters B

Self Cite

View full text Add to dashboard Cite

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. * jadixg@gmail.com using some of the methods in [24,25]. All of that work was based on the Master Equation formulation of symmetries [26,27,28,29,30,31].From the beginning of research into SUSY, it has been noticed by many authors that SUSY seems to hint at solutions to various problems. But these hints then turn to disappointment, because the effort to remove the mass degeneracy of the supermultiplets, using spontaneous SUSY breaking, tends to spoil the nice properties of the theory [32]. This has led some authors to wonder whether the mass degeneracy of SUSY can be removed, even when SUSY itself is not really spontaneously (or explicitly) broken at all [33].The theory presented here shows how the mass degeneracy can be removed for Chiral Multiplets, without spontaneous or explicit breaking of SUSY. The result is a sort of compromise between the usual SUSY theories that have a conserved SUSY charge, and theories which have no SUSY at all. We use an Exchange Transformation 2 to change the original normal SUSY theory to a theory with a non-conserved, but still very relevant, SUSY charge. The new theory satisfies a Master Equation that is very similar to the Master Equation of the parent SUSY theory. The method here does not apply to SUSY Gauge theory so as to remove its SUSY charge. But the presence of SUSY Gauge theory is not a problem for the method.

show abstract

Section: Brst Cohomology Of the Chiral Multipletmentioning

confidence: 99%

Section: Brst Cohomology Of the Chiral Multipletmentioning

confidence: 99%

Section: The Majorana Irreducible Chiral Dotted Spinor Supermultipletmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Chiral SUSY theories with a suppressed SUSY charge

Dixon

2016

Physics Letters B

Self Cite

View full text Add to dashboard Cite

show abstract

“…We introduce the following Actions for the usual SUSY gauge theories. The notation here was introduced in [13]:…”

Section: Kinetic and Zinn Actions For Gauge Theoriesmentioning

confidence: 99%

The SSM with Suppressed SUSY Charge

Dixon

2016

Physics Letters B

Self Cite

View full text Add to dashboard Cite

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 Γ for a new Antighost Field η. 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 from SU (3) × SU (2) × U (1) to SU (3) × U (1) 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

show abstract

Lagrangians for massive Dirac chiral superfields

Jiménez

Vaquera-Araujo

2016

Nuclear Physics B

View full text Add to dashboard Cite

A variant for the superspin one-half massive superparticle in 4D, N = 1, based on Dirac superfields, is offered. As opposed to the current known models that use spinor chiral superfields, the propagating fields of the supermultiplet are those of the lowest mass dimensions possible: scalar, Dirac and vector fields. Besides the supersymmetric chiral condition, the Dirac superfields are not further constrained, allowing a very straightforward implementation of the path-integral method. The corresponding superpropagators are presented. In addition, an interaction super Yukawa potential, formed by Dirac and scalar chiral superfields, is given in terms of their component fields. The model is first presented for the case of two superspin one-half superparticles related by the charged conjugation operator, but in order to treat the case of neutral superparticles, the Majorana condition on the Dirac superfields is also studied. We compare our proposal with the known models of spinor superfields for the one-half superparticle and show that it is equivalent to them.

show abstract

An irreducible massive superspin one half action built from the chiral dotted spinor superfield

Cited by 5 publications

References 18 publications

Chiral SUSY theories with a suppressed SUSY charge

Chiral SUSY theories with a suppressed SUSY charge

The SSM with Suppressed SUSY Charge

Lagrangians for massive Dirac chiral superfields

Contact Info

Product

Resources

About