Factorization of cubic vertices involving three different higher spin fields. (English) Zbl 1325.81119
Summary: We derive a class of cubic interaction vertices for three higher spin fields, with integer spins \(\lambda_1\), \(\lambda_2\), \(\lambda_3\), by closing commutators of the Poincaré algebra in four-dimensional flat spacetime. We find that these vertices exhibit an interesting factorization property which allows us to identify off-shell perturbative relations between them.
MSC:
| 81T13 | Yang-Mills and other gauge theories in quantum field theory |
| 81R25 | Spinor and twistor methods applied to problems in quantum theory |
| 22E70 | Applications of Lie groups to the sciences; explicit representations |
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