<i>N</i>= 4 supersymmetric mechanics in harmonic superspace

Ivanov, E.; Lechtenfeld, Olaf

doi:10.1088/1126-6708/2003/09/073

Cited by 139 publications

(389 citation statements)

References 49 publications

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“…So these isometries can be appropriate candidates for gauging. In the N=4 case, the gauging is most naturally performed in the N=4, d=1 harmonic superspace [42]. Hence, as a prerequisite, it would be helpful to reformulate the models studied here within the N=4 harmonic superspace framework.…”

Section: Summary Further Examples and Outlookmentioning

confidence: 99%

Hierarchy of mechanics models

Ivanov¹,

Lechtenfeld

Sutulin³

2008

Nuclear Physics B

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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.

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Section: Summary Further Examples and Outlookmentioning

confidence: 99%

Hierarchy of mechanics models

Ivanov¹,

Lechtenfeld

Sutulin³

2008

Nuclear Physics B

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“…The simplest way to deal with an action for the supermultiplet Q ia is to use the harmonic superspace approach [11,12,10]. We use the definitions and conventions of Ref.…”

Section: N=8 Sqm: Lagrangianmentioning

confidence: 99%

“…We use the definitions and conventions of Ref. [10]. The harmonic variables parameterizing the coset SU (2) R /U (1) R are defined by the relations…”

Section: N=8 Sqm: Lagrangianmentioning

confidence: 99%

“…Requiring the N = 4 supersymmetric action for q ia to be representable in the analytic harmonic superspace imposes severe restrictions on the target-space geometry [10]. To clarify these restrictions and their consequences for the N = 8 case let us pass to the components action.…”

Section: N=8 Sqm: Lagrangianmentioning

confidence: 99%

“…The detailed discussion of the N = 4 (4,4,0) supermultiplet has been performed in Ref. [10] within harmonic superspace. For N = 4 supersymmetry this framework is not the most general one, because it puts additional constraint on the bosonic metric making the geometry strong HKT [2].…”

Section: Introductionmentioning

confidence: 99%

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N=8 supersymmetric quaternionic mechanics

Bellucci

Krivonos²,

Sutulin³

2005

Physics Letters B

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We construct N = 8 supersymmetric mechanics with four bosonic end eight fermionic physical degrees of freedom. Starting from the most general N = 4 superspace action in harmonic superspace for the (4,8,4) supermultiplet we find conditions which make it N = 8 invariant. We introduce in the action Fayet-Iliopoulos terms which give rise to potential terms. We present the action in components and give explicit expressions for the Hamiltonian and Poisson brackets. Finally we discuss the possibility of N = 9 supersymmetric mechanics.

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Supersymmetric Mechanics in Superspace

Bellucci

Krivonos

Supersymmetric Mechanics – Vol. 1

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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

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N= 4 supersymmetric mechanics in harmonic superspace

Cited by 139 publications

References 49 publications

Hierarchy of mechanics models

Hierarchy of mechanics models

N=8 supersymmetric quaternionic mechanics

Supersymmetric Mechanics in Superspace

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