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Topological Fields in $4d$ Higher Spin Theory

High Energy Physics - Theory 2026-05-07 v2

Abstract

The equations for topological fields in the 4d4d higher spin theory are considered. It is shown that these fields contain a finite number of degrees of freedom that justifies their naming. The issue of construction of gauge invariant functionals is addressed, and a gauge-invariant cubic action is constructed for the interacting physical and topological higher spin fields.

Keywords

Cite

@article{arxiv.2603.08334,
  title  = {Topological Fields in $4d$ Higher Spin Theory},
  author = {P. T. Kirakosiants},
  journal= {arXiv preprint arXiv:2603.08334},
  year   = {2026}
}

Comments

18 pages, some clarifications and references added, calculations in Appendix B corrected, matches the published version

R2 v1 2026-07-01T11:10:16.472Z