Harmonic Superspace

Galperin, A. S.; Ivanov, E.A.; Ogievetsky, V.; Sokatchev, E.

doi:10.1017/cbo9780511535109

Cited by 468 publications

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“…It is interesting that the maximally symmetric (SO(8) invariant) singular solution of (2.18),G 29) corresponds to the following choice of the N=4 superfield Lagrangian…”

Section: )mentioning

confidence: 99%

“…As in the previous cases, this Lagrangian is defined modulo 28) which simultaneously solves the dimension-3 and dimension-1 Laplace equations and so does not contribute into the action. Choosing, e.g., 29) one can cast the Lagrangian (5.27) into the alternative form…”

Section: So(5)xsu(2) Symmetrymentioning

confidence: 99%

“…One such approach exists, this is the N=8 bi-harmonic superspace approach [31], but it perfectly works only for the linear and nonlinear (4,8,4) multiplets and seems to be not too helpful in the other cases. Another approach is just the d=1 reduction of the standard harmonic superspace [28], also with a limited scope of applications to N=8, d=1 supermultiplets. It is worth to seek for some alternative more universal N=8, d=1 superfield approaches.…”

Section: Summary Further Examples and Outlookmentioning

confidence: 99%

“…[10,20] 1 ), depending on whether one performs the reduction on the level of the gauge potential superfield [21]- [24] or the superfield strength [25]- [27]. The d=1 reduction of the generic hypermultiplet model (which exists off shell only in harmonic superspace [28,29]) produces a general one-dimensional sigma model with hyperkähler target geometry and an infinite number of auxiliary fields. Finally, the d=1 reduction of the general off-shell sigma model for twisted N=(4, 4) supermultiplets in two dimensions leads to the most general model of the N=8 multiplet (4,8,4) [30,31].…”

Section: Introductionmentioning

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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“…It is interesting that the maximally symmetric (SO(8) invariant) singular solution of (2.18),G 29) corresponds to the following choice of the N=4 superfield Lagrangian…”

Section: )mentioning

confidence: 99%

Section: So(5)xsu(2) Symmetrymentioning

confidence: 99%

Section: Summary Further Examples and Outlookmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Hierarchy of mechanics models

Ivanov¹,

Lechtenfeld

Sutulin³

2008

Nuclear Physics B

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“…Using the technique of harmonic superspace (HSS) [13,14], the action for this model can be written in such a way that all 4 complex supersymmetries are manifest.…”

Section: N = 4 Description In Harmonic Superspacementioning

confidence: 99%

Symplectic sigma models in superspace

Ivanov¹,

Smilga

2004

Nuclear Physics B

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We discuss a special "symplectic" class of N = 4 supersymmetric sigma models in (0 + 1) dimension with 5r bosonic and 4r complex fermionic degrees of freedom. These models can be described off shell by N = 2 superfields (so that only half of supersymmetries are manifest) and also by N = 4 superfields in the framework of the harmonic superspace approach. Using the latter, we derive the general form of the relevant bosonic target metric. * On leave of absence from ITEP, Moscow, Russia.

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Ketov

1999

Fortschr. Phys.

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Exact solutions to the low‐energy effective action (LEEA) of the four‐dimensional N = 2 supersymmetric gauge theories are known to be obtained either by quantum field theory methods from S‐duality in the Seiberg‐Witten approach, or by the Type‐IIA superstring/M‐Theory methods of brane technology. After a brief review of the standard field‐theoretical results for the N = 2 gauge (Seiberg‐Witten) LEEA, we consider a field‐theoretical derivation of the exact hypermultiplet LEEA by using the N = 2 harmonic superspace methods. We illustrate our techniques on a number of explicit examples. Our main purpose, however, is to discuss the existing analytical (calculational) support for the alternative methods of brane technology. We summarize known exact solutions to the eleven‐dimensional and ten‐dimensional type‐IIA supergravities, which describe classical configurations of intersecting BPS branes with eight supercharges relevant to the non‐perturbative N = 2 gauge theory with fundamental hypermultiplet matter. The crucial role of the M‐Theory in providing a classical resolution of singularities in the ten‐dimensional (Type‐IIA superstring) brane picture, as well as the N = 2 extended supersymmetry in four dimensions, are made manifest. The two approaches to a derivation of the exact N = 2 gauge theory LEEA are thus seen to be complementary to each other and mutually dependent.

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Harmonic Superspace

Cited by 468 publications

References 0 publications

Hierarchy of mechanics models

Hierarchy of mechanics models

Symplectic sigma models in superspace

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