Light-cone vector superspace yields simple spin operators for continuous-spin fields in AdS, enables classification of bosonic and fermionic cases in 4D, and produces all unitary irreps of the non-linear spin algebra.
Fermionic continuous spin gauge field in (A)dS space
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abstract
Fermionic continuous spin field propagating in (A)dS space-time is studied. Gauge invariant Lagrangian formulation for such fermionic field is developed. Lagrangian of the fermionic continuous spin field is constructed in terms of triple gamma-traceless tensor-spinor Dirac fields, while gauge symmetries are realized by using gamma-traceless gauge transformation parameters. It is demonstrated that partition function of fermionic continuous spin field is equal to one. Modified de Donder gauge condition that considerably simplifies analysis of equations of motion is found. Decoupling limits leading to arbitrary spin massless, partial-massless, and massive fermionic fields are studied.
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Light-cone vector superspace and continuous-spin field in AdS
Light-cone vector superspace yields simple spin operators for continuous-spin fields in AdS, enables classification of bosonic and fermionic cases in 4D, and produces all unitary irreps of the non-linear spin algebra.