ABC of supermultiplets

Bellucci, Stefano; Ivanov, E.; Krivonos, S.; Lechtenfeld, Olaf

doi:10.1016/j.nuclphysb.2004.08.006

Cited by 78 publications

(198 citation statements)

References 47 publications

(137 reference statements)

Supporting

Mentioning

194

Contrasting

Unclassified

Order By: Relevance

“…All these properties seem to extend also to the N=8 mechanics models associated with the rest of the multiplets classified in [20], viz. the multiplets (4,8,4), (3,8,5), (2,8,7), (1, 8, 7) and (0, 8, 8) .…”

Section: Summary Further Examples and Outlookmentioning

confidence: 68%

“…The multiplet (8,8,0) is presented by two different off-shell N=4 supermultiplets (4, 4, 0) described by the quartet superfields φ iα and q aA , α and A being doublet indices of two extra SU(2) groups of the Pauli-Gürsey type commuting with the N=4 superalgebra generators (and with the covariant derivatives as well) [20]. These superfields are subjected to the constraints…”

Section: N=8 Invariant Action In N=4 Superspacementioning

confidence: 99%

“…The transformations of the hidden N=4 supersymmetry completing the manifest one to the full N=8 supersymmetry are as follows [20],…”

Section: The General Component Action Of the Multiplet (8 8 0)mentioning

confidence: 99%

“…In this paper we have studied several so far unexplored models of N=8 supersymmetric mechanics with 8 physical fermions [20] in the off-shell N=4 superfield approach: those associated with the N=8 multiplets (8,8,0), (7,8,1) and (6,8,2) . Also, the model associated with the multiplet (5, 8, 3) was studied for the N=4 splitting (5, 8, 3) = (4, 4, 0) ⊕ (1, 4, 3) which was not addressed in full generality before.…”

Section: Summary Further Examples and Outlookmentioning

confidence: 99%

“…In [20], by exploiting the N=4 superfield formalism, the free actions for all mentioned N=8 multiplets were constructed, and particular examples of nontrivial N=8 invariant actions were presented. Later on, some of these multiplets (as well as their nonlinear cousins) and associated N=8 mechanics were studied in more detail in [25,26,27,30] and [34]- [40].…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Hierarchy of mechanics models

Ivanov¹,

Lechtenfeld

Sutulin³

2008

Nuclear Physics B

View full text Add to dashboard Cite

Using the N =4 superspace approach in one dimension (time), we construct general N =8 supersymmetric mechanics actions for the multiplets (b, 8, 8−b) classified in hep-th/0406015, with the main focus on the previously unexplored cases of (8, 8, 0), (7, 8, 1) and (6, 8, 2) , as well as on (5, 8, 3) for completeness. N =8 supersymmetry of the action amounts to a harmonicity condition for the Lagrangian with respect to its superfield arguments. We derive the generic off-shell component action for the "root" multiplet (8,8, 0), prove that the actions for all other multiplets follow from it through automorphic dualities and argue that this hierarchical structure is universal. The bosonic target geometry in all cases is conformally flat, with a unique scalar potential (except for the root multiplet). We show that the N =4 superfield constraints respect the full R-symmetry and find the explicit realization of its quotient over the manifest R-symmetry on superfields and component fields. Several R-symmetric N =4 superfield Lagrangians with N =8 supersymmetry are either newly found or reproduced by a simple universal method.

show abstract

Section: Summary Further Examples and Outlookmentioning

confidence: 68%

Section: N=8 Invariant Action In N=4 Superspacementioning

confidence: 99%

“…The transformations of the hidden N=4 supersymmetry completing the manifest one to the full N=8 supersymmetry are as follows [20],…”

Section: The General Component Action Of the Multiplet (8 8 0)mentioning

confidence: 99%

Section: Summary Further Examples and Outlookmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Hierarchy of mechanics models

Ivanov¹,

Lechtenfeld

Sutulin³

2008

Nuclear Physics B

View full text Add to dashboard Cite

show abstract

A Journey Through Garden Algebras

Bellucci

Gates

Orazi

2006

Supersymmetric Mechanics – Vol. 1

Self Cite

View full text Add to dashboard Cite

Summary. The main purpose of these lectures is to give a pedagogical overview on the possibility to classify and relate off-shell linear supermultiplets in the context of supersymmetric mechanics. A special emphasis is given to a recent graphical technique that turns out to be particularly effective for describing many aspects of supersymmetric mechanics in a direct and simplifying way. 2 S. Bellucci, S. J. Gates, Jr., E. Orazi

show abstract

Supersymmetric Mechanics in Superspace

Bellucci

Krivonos

Supersymmetric Mechanics – Vol. 1

Self Cite

View full text Add to dashboard Cite

These Lectures have been given at Laboratori Nazionali di Frascati in the month of March, 2005. The main idea was to provide our young collegues, who joined us in our attempts to understand the structure of $N$-extended supersymmetric one-dimensional systems, with short descriptions of the methods and techniques we use. This was reflected in the choice of material and in the style of presentation. We base our treatment mainly on the superfield point of view. Moreover, we prefer to deal with N=4 and N=8 superfields. At present, the exists an extensive literature on the components approach to extended supersymmetric theories in $d=1$ while the manifestly supersymmetric formulation in terms of properly constrained superfields is much less known. Nevertheless, we believe that just such formulations are preferable. In order to make these Lectures more or less self-consistent, we started from the simplest examples of one-dimensional supersymmetric theories and paid a lot of attention to the peculiarities of $d=1$ supersymmetry. From time to time we presented the calculations in a very detailed way. In other cases we omitted the details and gave only the final answers. In any case these Lectures cannot be considered as a textbook in any respect. They can be considered as our personal point of view on the one-dimensional superfield theories and on the methods and techniques we believe to be important. Especially, all this concerns Section 3, were we discuss the nonlinear realizations method. We did not present any proofs in this Section. Instead we focused on the details of calculations. Finally, we apologize for the absolutely incomplete list of References

show abstract

ABC of supermultiplets

Cited by 78 publications

References 47 publications

Hierarchy of mechanics models

Hierarchy of mechanics models

A Journey Through Garden Algebras

Supersymmetric Mechanics in Superspace

Contact Info

Product

Resources

About