TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.19.3.079
TI  - Massless chiral fields in six dimensions
PY  - 2025/09/29
UR  - https://www.scipost.org/SciPostPhys.19.3.079
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 19
IS  - 3
SP  - 079
A1  - Basile, Thomas
AB  - Massless chiral fields of arbitrary spin in six spacetime dimensions, also known as higher spin singletons, admit a simple formulation in terms of $SU^*(4) \cong SL(2,\mathbb{H})$ tensors. We show that, paralleling the four-dimensional case, these fields can be described using a $0$-form and a gauge $2$-form, taking values in totally symmetric tensors of $SU^*(4)$. We then exhibit an example of interacting theory that couples a tower of singletons of all integer spin to a background of $\mathfrak{g}$-valued higher spin fields, for $\mathfrak{g}$ an arbitrary Lie algebra equipped with an invariant symmetric bilinear form. Finally, we discuss the formulation of these models in arbitrary even dimensions, as well as their partially-massless counterpart.
ER  -

@Article{10.21468/SciPostPhys.19.3.079,
	title={{Massless chiral fields in six dimensions}},
	author={Thomas Basile},
	journal={SciPost Phys.},
	volume={19},
	pages={079},
	year={2025},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.19.3.079},
	url={https://scipost.org/10.21468/SciPostPhys.19.3.079},
}