Direct construction of a cubic selfinteraction for higher spin gauge fields
Ruben Manvelyan, Karapet Mkrtchyan, Werner Ruehl
TL;DR
This paper constructs a cubic selfinteraction for spin 4 gauge fields using Noether's procedure and discusses general spin s interactions in flat spacetime.
Contribution
It provides the first direct construction of a cubic selfinteraction for spin 4 fields and extends the discussion to general spin s cases.
Findings
Explicit cubic selfinteraction for spin 4 fields derived.
Leading terms and gauge transformations for general spin s outlined.
Framework established for higher spin selfinteractions in flat space.
Abstract
Using Noether's procedure we directly construct a complete cubic selfinteraction for the case of spin s=4 in a flat background and discuss the cubic selfinteraction for general spin s with s derivatives in the same background. The leading term of the latter interaction together with the leading gauge transformation of first field order are presented.
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