Think different: applying the old macintosh mantra to the computability of the SUSY auxiliary field problem

Calkins, Mathew; Gates, D. E. A.; Gates, S. James; Golding, William

doi:10.1007/jhep04(2015)056

Cited by 7 publications

(10 citation statements)

References 22 publications

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“…This is probably the case for the present action, and also for 10-D Super Yang Mills theory[2,15], for example. This feature is related to the Batalin Vilkovisky method, see for example[8] for a simple exposition of the latter 3.…”

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confidence: 53%

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

Dixon

2015

Physics Letters B

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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.

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confidence: 53%

“…In [1] the authors posed the 'Off Shell Susy Problem' in a simple and general way, and pointed out that the answer is not likely to be simple, but that it is probably important. This has generated the adinkra approach which is making progress on this complicated problem [2].…”

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confidence: 99%

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

Dixon

2015

Physics Letters B

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“…An interesting alternative approach to this embedding is the method of "adinkras" [23] which provide a one dimensional network graph description of supermultiplets. In [24,25] examples are given for how such an embedding works. The adinkras are being used in order to generate a set of adjacency matrices associated with them which provide the various representations of suppersymmetry.…”

Section: Jhep11(2017)063mentioning

confidence: 99%

“…These adjacency matrices satisfy a set of algebraic relations called "Garden Algebra" [26][27][28][29]. In [24] it was shown that one can use the Garden algebra in order to find off-shell completions of supersymmetric theories, by generating a system of quadratic equations. The spirit of the work presented here is very similar to that and explores similar if not the same issues, where the role of the Garden algebra and its consequence is played by the set of Diophantine equations.…”

Section: Jhep11(2017)063mentioning

confidence: 99%

From Diophantus to supergravity and massless higher spin multiplets

Gates

Koutrolikos

2017

J. High Energ. Phys.

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We present a new method of deriving the off-shell spectrum of supergravity and massless 4D, N = 1 higher spin multiplets without the need of an action and based on a set of natural requirements: (a.) existence of an underlying superspace description, (b.) an economical description of free, massless, higher spins and (c.) equal numbers of bosonic and fermionic degrees of freedom. We prove that for any theory that respects the above, the fermionic auxiliary components come in pairs and are gauge invariant and there are two types of bosonic auxiliary components. Type (1) are pairs of a (2, 0)-tensor with real or imaginary (1, 1)-tensor with non-trivial gauge transformations. Type (2) are singlets and gauge invariant. The outcome is a set of Diophantine equations, the solutions of which determine the off-shell spectrum of supergravity and massless higher spin multiplets. This approach provides (i ) a classification of the irreducible, supersymmetric, representations of arbitrary spin and (ii ) a very clean and intuitive explanation to why some of these theories have more than one formulations (e.g. the supergravity multiplet) and others do not.

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“…The predictions of SUSY are still in doubt for many reasons, and in particular there is still much to learn about the representation theory of SUSY, even in 3+1 dimensions. Progress in the representation theory of SUSY is being made by the adinkra program and other investigations of Buchbinder and Gates et al [9,10,11,12,13,14]. Massive representations of SUSY are clearly related to some of the puzzles of the superstring (See for example [6,7]).…”

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confidence: 99%

An extraordinary mass invariant and an obstruction in a massive superspin one half model made with a chiral dotted spinor superfield

Dixon

2015

Physics Letters B

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An earlier paper introduced an action for a new kind of irreducible massive superspin 1 2 multiplet, using BRST cohomological techniques including 'BRST Recycling'. A mass term was introduced in the earlier paper. A second mass term is discussed in this paper. This new mass invariant is an 'Extraordinary Invariant'-it has Zinn sources in it. The natural treatment for this situation is to 'Complete the Action' so that the new action yields zero for the BRST Poisson Bracket. In the present case, this Completion meets a BRST Obstruction.Setting the coefficient of this 'Completion Obstruction' to zero restores the massive superspin 1 2 supermultiplet with a new mass made from the two mass terms. Usually an Obstruction appears as an Anomaly at one loop perturbation theory, but this is a different mechanism to produce it. *

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Think different: applying the old macintosh mantra to the computability of the SUSY auxiliary field problem

Cited by 7 publications

References 22 publications

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

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

From Diophantus to supergravity and massless higher spin multiplets

An extraordinary mass invariant and an obstruction in a massive superspin one half model made with a chiral dotted spinor superfield

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