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Ivanov, E.

doi:10.1016/j.physletb.2006.06.073

Cited by 12 publications

(1 citation statement)

References 26 publications

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“…A possible solution could be to replace the hypermultiplet by some nonlinear supermultiplet, whose bosonic components should parametrize the four-sphere. The most natural candidate for this role is the nonlinear (4, 8, 4) supermultiplet [21,22], which would extend the number of fermions to eight. Nevertheless, we do not expect the corresponding action to enjoy N =8 supersymmetry [6], due to rather strong restrictions on the bosonic metric imposed by the four extra supersymmetries.…”

Section: Resultsmentioning

confidence: 99%

N=4supersymmetry and the Belavin-Polyakov-Shvarts-Tyupkin instanton

Krivonos¹,

Lechtenfeld

Sutulin³

2010

Phys. Rev. D

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In this paper we construct the Lagrangian and Hamiltonian formulations of N =4 supersymmetric systems describing the motion of an isospin particle on a conformally flat four-manifold with SO(4) isometry carrying the non-Abelian field of a BPST instanton. The conformal factor can be specified to yield various particular systems, such as superconformally invariant mechanics as well as a particle on the four-sphere, the pseudosphere or on R × S 3 . The isospin degrees of freedom arise as bosonic components of an additional fermionic N =4 supermultiplet, whose other components are rendered auxiliary by a nonlocal redefinition. Our on-shell component action coincides with the one recently proposed in arXiv:0912.3289.

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Section: Resultsmentioning

confidence: 99%

N=4supersymmetry and the Belavin-Polyakov-Shvarts-Tyupkin instanton

Krivonos¹,

Lechtenfeld

Sutulin³

2010

Phys. Rev. D

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The common origin of linear and nonlinear chiral multiplets in mechanics

Delduc

Ivanov²

2007

Nuclear Physics B

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Elaborating on previous work (hep-th/0605211, 0611247), we show how the linear and nonlinear chiral multiplets of N =4 supersymmetric mechanics with the off-shell content (2,4,2) can be obtained by gauging three distinct two-parameter isometries of the "root" (4,4,0) multiplet actions. In particular, two different gauge groups, one abelian and one non-abelian, lead, albeit in a disguised form in the second case, to the same (unique) nonlinear chiral multiplet. This provides an evidence that no other nonlinear chiral N =4 multiplets exist. General sigma model type actions are discussed, together with the restricted potential terms coming from the Fayet-Iliopoulos terms associated with abelian gauge superfields. As in our previous work, we use the manifestly supersymmetric language of N =4, d=1 harmonic superspace. A novel point is the necessity to use in parallel the λ and τ gauge frames, with the "bridges" between these two frames playing a crucial role. It is the N =4 harmonic analyticity which, though being non-manifest in the τ frame, gives rise to both linear and nonlinear chirality constraints.

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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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Nonlinear (4,8,4) multiplet of N=8

Cited by 12 publications

References 26 publications

N=4supersymmetry and the Belavin-Polyakov-Shvarts-Tyupkin instanton

N=4supersymmetry and the Belavin-Polyakov-Shvarts-Tyupkin instanton

The common origin of linear and nonlinear chiral multiplets in mechanics

Hierarchy of mechanics models

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