Extension of the osp(m| n) ~ so(m - n) correspondence to the infinite-dimensional chiral spinors and self dual tensors

The spinor representations of the orthosymplectic Lie superalgebras osp(m|n) are considered and constructed. These are infinite-dimensional irreducible representations, of which the superdimension coincides with the dimension of the spinor representation of so(m - n). Next, we consider the self dual tensor representations of osp(m|n) and their generalizations: these are also infinitedimensional and correspond to the highest irreducible component of the pth power of the spinor representation. We determine the character of these representations, and deduce a superdimension formula. From this, it follows that also for these representations the osp(m|n) similar to so(m - n) correspondence holds.

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