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A covariant quantization method is developed for the off-shell superparticlein 10 dimensions. On-shell it is consistent with lightcone quantization, whileoff-shell it gives a noncommutative superspace that realizes non-linearly ahidden 11-dimensional super Poincare symmetry. The non-linear commutation rulesare then used to construct the supersymmetric generalization of the covariantMoyal star product in noncommutative superspace. As one of the possibleapplications, we propose this new product as the star product in supersymmetricstring field theory. Furthermore, the formalism introduces new techniques andconcepts in noncommutative (super)geometry.Comment: 17 pages, LaTe

Superstar in noncommutative superspace via covariant quantization of the superparticle