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- W4366459008 abstract "We show that the recently proposed equations for holomorphic sector of higher-spin theory in $d=4$, also known as chiral, can be naturally extended to describe interacting symmetric higher-spin gauge fields in any dimension. This is achieved with the aid of Vasiliev's off-shell higher-spin algebra. The latter contains ideal associated to traces that has to be factored out in order to set the equations on-shell. To identify the ideal in interactions we observe the global $sp(2)$ that underlies it to all orders. The $sp(2)$ field dependent generators are found in closed form and appear to be remarkably simple. The traceful higher-spin vertices are analyzed against locality and shown to be all-order space-time spin-local in the gauge sector, as well as spin-local in the Weyl sector. The vertices are found manifestly in the form of curious integrals over hypersimplices. We also extend to any $d$ the earlier observed in $d=4$ higher-spin shift symmetry known to be tightly related to spin-locality." @default.
- W4366459008 created "2023-04-22" @default.
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- W4366459008 date "2023-04-18" @default.
- W4366459008 modified "2023-10-14" @default.
- W4366459008 title "On interaction of symmetric higher-spin gauge fields" @default.
- W4366459008 doi "https://doi.org/10.48550/arxiv.2304.08850" @default.
- W4366459008 hasPublicationYear "2023" @default.
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