# 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}
}
• Published 8 April 2008
• Physics, Mathematics
• Journal of High Energy Physics
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
• Physics
• 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
• Physics, Mathematics
• 2012
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
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
• Physics, Mathematics
• 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
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
• 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
• 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
• Mathematics, Physics
• 2015
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
• 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
• 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 $\mathcal{N} = 1$

## References

SHOWING 1-10 OF 28 REFERENCES

• Physics, Mathematics
• 2008
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
• Physics, Mathematics
• 2001
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
• Physics
• 2006
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
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
• Mathematics
• 2007
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
• Physics
• 2001
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