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Massless chiral fields in six dimensions
by Thomas Basile
Submission summary
| Authors (as registered SciPost users): | Thomas Basile |
| Submission information | |
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| Preprint Link: | https://arxiv.org/abs/2409.12800v1 (pdf) |
| Date submitted: | 2024-11-25 16:52 |
| Submitted by: | Basile, Thomas |
| Submitted to: | SciPost Physics |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
Massless chiral fields of arbitrary spin in six spacetime dimensions, also known as higher spin singletons, admit a simple formulation in terms of $SL(2,\mathbb{H})$ 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 $SL(2,\mathbb{H})$. 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.
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