Cubic interaction vertices for fermionic and bosonic arbitrary spin fields

Understand

Using the light-cone gauge approach to relativistic field dynamics, we study arbitrary spin fermionic and bosonic fields propagating in flat space of dimension greater than or equal to four.

• Generating functions of parity invariant cubic interaction vertices for totally symmetric and mixed-symmetry massive and massless fields are obtained.
• For the case of totally symmetric fields, we derive restrictions on the allowed values of spins and the number of derivatives.
• These restrictions provide a complete classification of parity invariant cubic interaction vertices for totally symmetric fermionic and bosonic fields.