Conformally flat supergeometry in five dimensions

@article{Kuzenko2008ConformallyFS,
  title={Conformally flat supergeometry in five dimensions},
  author={Sergei M. Kuzenko and Gabriele Tartaglino-Mazzucchelli},
  journal={Journal of High Energy Physics},
  year={2008},
  volume={2008},
  pages={097-097}
}
Using the superspace formulation for the 5D N = 1 Weyl supermultiplet developed in arXiv: 0802.3953, we elaborate the concept of conformally flat superspace in five dimensions. For a large family of supersymmetric theories (including sigma-models and Yang-Mills theories) in the conformally flat superspace, we describe an explicit procedure to formulate their dynamics in terms of rigid 4D N = 1 superfields. The case of 5D N = 1 anti-de Sitter superspace is discussed as an example. 
View PDF on arXiv
19 Citations
Background Citations
7
Methods Citations
6
Results Citations
2

19 Citations

Symmetries of curved superspace in five dimensions

A bstractWe develop a formalism to construct supersymmetric backgrounds within the superspace formulation for five-dimensional (5D) conformal supergravity given in arXiv:0802.3953. Our approach is…

Six-dimensional Supergravity and

We propose a superspace formulation of N = (1,0) conformal supergravity in six dimensions. The corresponding superspace constraints are invariant under superWeyl transformations generated by a real…

On 2D N = (4,4) superspace supergravity

We review some recent results obtained in studying superspa.ee formulations of 2D N = (4,4) matter-coupled supergravity. For a superspace geometry described by the minimal supergravity multiplet, we…

Six-dimensional supergravity and projective superfields

A bstractWe propose a superspace formulation of $ \mathcal{N} = \left( {1,0} \right) $ conformal supergravity in six dimensions. The corresponding superspace constraints are invariant under…

Projective multiplets and hyperkähler cones in conformal supergravity

A bstractProjective superspace provides a natural framework for the construction of actions coupling hypermultiplets to conformal supergravity. We review how the off-shell actions are formulated in…

Field theory in 4D N = 2 conformally flat superspace

Building on the superspace formulation for four-dimensional N = 2 matter-coupled supergravity developed in [1], we elaborate upon a general setting for field theory in N = 2 conformally flat…

AdS5 supersymmetry in N = 1 superspace

We use N = 1 superspace to construct the supersymmetric matter couplings of vector and hyper multiplets in a five-dimensional anti-de Sitter spacetime background. For hypermultiplets, we find that…

Supersymmetric field theories on AdSp × Sq

A bstractIn this paper we study supersymmetric field theories on an AdSp × Sq spacetime that preserves their full supersymmetry. This is an interesting example of supersymmetry on a non-compact…

Nikhef-2015-020 Rigid 4 D N = 2 supersymmetric backgrounds and actions

We classify all N = 2 rigid supersymmetric backgrounds in four dimensions with both Lorentzian and Euclidean signature that preserve eight real supercharges, up to discrete identifications. Among the…

Extended supersymmetric sigma models in AdS4 from projective superspace

A bstractThere exist two superspace approaches to describe $ \mathcal{N} = 2 $ supersymmetric nonlinear σ-models in four-dimensional anti-de Sitter (AdS4) space: (i) in terms of $ \mathcal{N} = 1 $…

References

SHOWING 1-10 OF 28 REFERENCES

5D supergravity and projective superspace

This paper is a companion to our earlier work [1] in which the projective superspace formulation for matter-coupled simple supergravity in five dimensions was presented. For the minimal multiplet of…

On compactified harmonic/projective superspace, 5D superconformal theories, and all that

Five-dimensional N=1 AdS superspace: Geometry, off-shell multiplets and dynamics

Supersymmetrizing branes with bulk in five-dimensional supergravity

Weyl multiplets of N=2 conformal supergravity in five dimensions

We construct the Weyl multiplets of N = 2 conformal supergravity in five dimensions. We show that there exist two different versions of the Weyl multiplet, which contain the same gauge fields but…

On five-dimensional superspaces

Recent one-loop calculations of certain supergravity-mediated quantum corrections in supersymmetric brane-world models employ either the component formulation (hep-th/0305184) or the superfield…

On superconformal projective hypermultiplets

Building on the five-dimensional constructions in hep-th/0601177, we provide a unified description of four-dimensional = 2 superconformal off-shell multiplets in projective superspace, including a…

On superpotentials for nonlinear sigma-models with eight supercharges

Polar supermultiplets, hermitian symmetric spaces and hyperkähler metrics

We address the construction of four-dimensional {} = 2 supersymmetric nonlinear sigma models on tangent bundles of arbitrary Hermitian symmetric spaces starting from projective superspace. Using a…

Off-Shell d=5 Supergravity Coupled to a Matter-Yang-Mills System.

We present an off-shell formulation of a matter-Yang-Mills system coupled to supergravity in five-dimensional space-time. We give an invariant action for a general system of vector multiplets and…