Matches in SemOpenAlex for { <https://semopenalex.org/work/W2594506867> ?p ?o ?g. }
- W2594506867 abstract "We develop a new superfield approach to $mathcal{N}=4$ supersymmetric mechanics based on the concept of biharmonic superspace (bi-HSS). It is an extension of the $mathcal{N}=4$, $d=1$ superspace by two sets of harmonic variables associated with the two SU(2) factors of the $R$-symmetry group SO(4) of the $mathcal{N}=4$, $d=1$ super Poincar'e algebra. There are three analytic subspaces in it: two of the Grassmann dimension 2 and one of the dimension 3. They are closed under the infinite-dimensional ``large'' $mathcal{N}=4$ superconformal group, as well as under the finite-dimensional superconformal group $D(2,1;ensuremath{alpha})$. The main advantage of the bi-HSS approach is that it gives an opportunity to treat $mathcal{N}=4$ supermultiplets with finite numbers of off-shell components on equal footing with their ``mirror'' counterparts. We show how such multiplets and their superconformal properties are described in this approach. We also define nonpropagating gauge multiplets which can be used to gauge various isometries of the bi-HSS actions. We present an example of a nontrivial $mathcal{N}=4$ mechanics model with a seven-dimensional target manifold obtained by gauging a U(1) isometry in a sum of the free actions of the multiplet $(mathbf{4},mathbf{4},mathbf{0})$ and its mirror counterpart." @default.
- W2594506867 created "2017-03-16" @default.
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- W2594506867 date "2009-09-25" @default.
- W2594506867 modified "2023-09-27" @default.
- W2594506867 title "Biharmonic superspace for<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mi mathvariant=script>N</mml:mi><mml:mo>=</mml:mo><mml:mn>4</mml:mn></mml:math>mechanics" @default.
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- W2594506867 doi "https://doi.org/10.1103/physrevd.80.065027" @default.
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