# New locally (super)conformal gauge models in Bach-flat backgrounds

@article{Kuzenko2020NewL,
title={New locally (super)conformal gauge models in Bach-flat backgrounds},
author={Sergei M. Kuzenko and Michael Ponds and Emmanouil S. N. Raptakis},
journal={arXiv: High Energy Physics - Theory},
year={2020}
}
• Published 18 May 2020
• Physics
• arXiv: High Energy Physics - Theory
For every conformal gauge field $h_{\alpha (n)\dot \alpha (m)}$ in four dimensions, with $n\geq m >0$, a gauge-invariant action is known to exist in arbitrary conformally flat backgrounds. If the Weyl tensor is non-vanishing, however, gauge invariance holds for a pure conformal field in the following cases: (i) $n=m=1$ (Maxwell's field) on arbitrary gravitational backgrounds; and (ii) $n=m+1 =2$ (conformal gravitino) and $n=m=2$ (conformal graviton) on Bach-flat backgrounds. It is believed…
14 Citations

### Conformal interactions between matter and higher-spin (super)fields

• Physics
• 2022
In even spacetime dimensions, the interacting bosonic conformal higher-spin (CHS) theory can be realised as an induced action. The main ingredient in this definition is the model S[φ, h] describing a

### Generalised superconformal higher-spin multiplets

• Physics
• 2020
We propose generalised $\mathcal{N}=1$ superconformal higher-spin (SCHS) gauge multiplets of depth $t$, $\Upsilon_{\alpha(n)\dot{\alpha}(m)}^{(t)}$, with $n\geq m \geq 1$. At the component level, for

### Snowmass White Paper: Higher Spin Gravity and Higher Spin Symmetry

• Physics
• 2022
Higher Spin Gravity refers to extensions of gravity including at least one ﬁeld of spin greater than two. These extensions are expected to provide manageable models of quantum gravity thanks to the

### Off-shell cubic hypermultiplet couplings to $$\mathcal{N}$$ = 2 higher spin gauge superfields

• Physics, Mathematics
Journal of High Energy Physics
• 2022