# The component structure of conformal supergravity invariants in six dimensions

@article{Butter2017TheCS,
title={The component structure of conformal supergravity invariants in six dimensions},
author={Daniel Butter and Joseph Novak and Gabriele Tartaglino-Mazzucchelli},
journal={Journal of High Energy Physics},
year={2017},
volume={2017},
pages={1-45}
}
• Published 27 January 2017
• Mathematics
• Journal of High Energy Physics
A bstractIn the recent paper arXiv:1606.02921, the two invariant actions for 6D N=10$$\mathcal{N}=\left(1,0\right)$$ conformal supergravity were constructed in superspace, corresponding to the supersymmetrization of C3 and C□C. In this paper, we provide the translation from superspace to the component formulation of superconformal tensor calculus, and we give the full component actions of these two invariants. As a second application, we build the component form for the supersymmetric F□F…
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A bstractNon-conformal supercurrents in six dimensions are described, which contain the trace of the energy-momentum tensor and the gamma-trace of the supersymmetry current amongst their component
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General $\mathcal{N}=(1,0)$ supergravity-matter systems in six dimensions may be described using one of the two fully fledged superspace formulations for conformal supergravity: (i) $\mathsf{SU}(2)$
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Physical Review D
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By extending the recent analysis of arXiv:2203.12203 for ${\mathcal{N}}=2$ conformal supergravity in four dimensions, we define new hyper-dilaton Weyl multiplets for five-dimensional
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Abstract We define a new dilaton Weyl multiplet of $$\mathcal{N}$$ N = 2 conformal supergravity in four dimensions. This is constructed by reinterpreting the equations of motion of an on-shell
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A bstractThe most general class of 4D N$$\mathcal{N}$$ = 4 conformal supergravity actions depends on a holomorphic function of the scalar fields that parametrize an SU(1, 1)/U(1) coset space. The
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A bstractWe describe the supersymmetric completion of several curvature-squared invariants for N$$\mathcal{N}$$ = (1, 0) supergravity in six dimensions. The construction of the invariants is based
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We will use the covariant superform approach to develop a new density formula for $\mathcal{N}=2$ conformal supergravity which is based on a fermionic multiplet whose lowest component is a
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Superconformal geometries in spacetime dimensions D = 3, 4, 5 and 6 are discussed in terms of local supertwistor bundles over standard superspace. These natually admit superconformal connections as
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We provide a unified description of the three covariant superspace approaches to N = 2 conformal supergravity in four dimensions: (i) conformal superspace; (ii) U(2) superspace; and (iii) SU(2)
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## References

SHOWING 1-10 OF 81 REFERENCES

• Physics
• 2013
A bstractUsing the off-shell formulation for $\mathcal{N}$-extended conformal supergravity in three dimensions that has recently been presented in arXiv:1305.3132, we construct superspace actions
• Mathematics
• 2013
A bstractWe propose a new off-shell formulation for $$\mathcal{N}$$ -extended conformal supergravity in three spacetime dimensions. Our construction is based on the gauging of the $$\mathcal{N} • Mathematics, Physics • 2016 A bstractWe develop a new off-shell formulation for six-dimensional conformal super-gravity obtained by gauging the 6D N$$ \mathcal{N}  = (1, 0) superconformal algebra in superspace. This
• Physics
• 2013
A bstractA new class of N = 2 locally supersymmetric higher-derivative invariants is constructed based on logarithms of conformal primary chiral superfields. They characteristically involve a
• Physics
• 2014
A bstractWe develop a new off-shell formulation for five-dimensional (5D) conformal supergravity obtained by gauging the 5D superconformal algebra in superspace. An important property of the
• Physics, Geology
• 2015
A bstractWe compute the conformal anomaly a-coefficient for some non-unitary (higher derivative or non-gauge-invariant) 6d conformal fields and their supermultiplets. We use the method based on a
• Physics
• 2015
A bstractWe propose general relations between the conformal anomaly and the chiral (R-symmetry and gravitational) anomaly coefficients in 6d (1, 0) superconformal theories. The suggested expressions
• 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
• Physics, Mathematics
• 1999
We construct the supercurrent multiplet that contains the energy-momentum tensor of the (2,0) tensor multiplet. By coupling this multiplet of currents to the fields of conformal supergravity, we