Interactions of massless fermionic fields in three dimensions
Stefan Fredenhagen,
Filipp Lausch,
Karapet Mkrtchyan
Abstract:All independent interaction vertices involving massless (Fang-Fronsdal) fermions in three dimensions are classified, completing the classification of interactions of massless fields of any spin. Similar to the bosonic case, we get no independent vertices at quartic or higher order in the fields involving fields with spin s≥3/2 and cubic vertices only for spins satisfying triangle inequalities, apart from the cases involving (matter) fields with spin s≤1. Different from the bosonic cases, we get only one vertex… Show more
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