# 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.

## 19 Citations

### Symmetries of curved superspace in five dimensions

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- 2014

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

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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

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- 2012

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

- Mathematics, Physics
- 2014

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

- Physics
- 2008

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

- Mathematics, Physics
- 2011

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

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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

- Mathematics
- 2018

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

- Mathematics
- 2012

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 $…

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