N=8 superconformal mechanics

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

doi:10.1016/j.nuclphysb.2004.02.023

Cited by 65 publications

(173 citation statements)

References 56 publications

(230 reference statements)

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“…It coincides with the N=8 superconformally invariant Lagrangian found in [10] by a rather complicated recurrence procedure, starting from some general N=4 superconformally invariant action for the superfields q and u and then requiring invariance under the hidden N=4 supersymmetry. We see that the same action can be recovered much more simply from the requirement of SO (5) invariance.…”

Section: So(5)xsu(2) Symmetrysupporting

confidence: 53%

“…We see that the same action can be recovered much more simply from the requirement of SO (5) invariance. Also, it follows from our consideration that the N=8 supersymmetric Lagrangians (5.27) and (5.30) automatically satisfy the dimension-5 harmonicity condition, a property which was not noticed in [10]. We remark that this paper also constructed an N=8 superconformal Lagrangian for the alternative N=4 splitting of the multiplet (5, 8, 3) corresponding to the option (b) in (5.1).…”

Section: So(5)xsu(2) Symmetrymentioning

confidence: 67%

“…The N=8, d=1 off-shell multiplets classified and studied in [10,20] and in the present paper are defined by linear constraints. On the other hand, in the N=4 case most of analogous off-shell linear multiplets have their nonlinear cousins [42,9,38,39,43,40].…”

Section: Summary Further Examples and Outlookmentioning

confidence: 99%

“…The N=4 superfield constraints (5.2) are preserved under the following hidden internal symmetry transformations [10],…”

Section: So(5)xsu(2) Symmetrymentioning

confidence: 99%

“…The piece ∼ b 1 in (6.8) is nothing but the N=8 superconformal action of the multiplet (3,8,5) found in [10] by a rather involved recurrence procedure. We see how simple is its derivation in our framework.…”

Section: Summary Further Examples and Outlookmentioning

confidence: 99%

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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: So(5)xsu(2) Symmetrysupporting

confidence: 53%

Section: So(5)xsu(2) Symmetrymentioning

confidence: 67%

Section: Summary Further Examples and Outlookmentioning

confidence: 99%

“…The N=4 superfield constraints (5.2) are preserved under the following hidden internal symmetry transformations [10],…”

Section: So(5)xsu(2) Symmetrymentioning

confidence: 99%

Section: Summary Further Examples and Outlookmentioning

confidence: 99%

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Hierarchy of mechanics models

Ivanov¹,

Lechtenfeld

Sutulin³

2008

Nuclear Physics B

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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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Deformed supersymmetric quantum mechanics with spin variables

Fedoruk¹,

Ivanov²,

Sidorov³

2018

J. High Energ. Phys.

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Abstract:We quantize the one-particle model of the SU(2|1) supersymmetric multiparticle mechanics with the additional semi-dynamical spin degrees of freedom. We find the relevant energy spectrum and the full set of physical states as functions of the massdimension deformation parameter m and SU(2) spin q ∈ Z >0 , 1/2 + Z 0 . It is found that the states at the fixed energy level form irreducible multiplets of the supergroup SU(2|1) . Also, the hidden superconformal symmetry OSp(4|2) of the model is revealed in the classical and quantum cases. We calculate the OSp(4|2) Casimir operators and demonstrate that the full set of the physical states belonging to different energy levels at fixed q are unified into an irreducible OSp(4|2) multiplet.

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N=8 superconformal mechanics

Cited by 65 publications

References 56 publications

Hierarchy of mechanics models

Hierarchy of mechanics models

Supersymmetric Mechanics in Superspace

Deformed supersymmetric quantum mechanics with spin variables

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