Speaker
Description
New continuous spin superparticle models in 4D, N=1 flat and AdS_4 superspace are presented. The models are described by 4D, N=1 superspace coordinates together with commuting Weyl spinor additional variables, which are inherent ingredients of continuous spin models. A canonical formulation, specific local fermionic kappa-symmetry, and a compete system of bosonic and fermionic constraints are derived. All bosonic constrains are first-class, while four fermionic constraints are a mixture of first and second classes. It is proved that in the flat case two constraints are the first-class and two constraints are the second-class, whereas in curve case only one fermionic constraint is a first-class constraint, while the other three are second-class constraints. Using additional variables inherent in to the model, we split the fermionic constraints into first and second classes in a covariant way. Quantization of the model in flat case is carried out according to the Gupta-Bleuler procedure. The corresponding wave function, which is either a chiral or antichiral superfield, depends on additional variables and obeys the superfield constraints that define the continuous spin irreducible representation of the Poincaré supergroup in the superspace.
