Coherent states for the noncompact supergroups Osp(2/2N,R)

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Abstract
An analysis of the coherent states for the noncompact supergroup Osp(2/2N,R) is presented. In contrast to Osp(1/2N,R), both typical and atypical representations have to be considered. The measure of integration, in general, for Osp(2/2N,R) coherent states is calculated; it is then used to construct the decomposition of unity for the special case of Osp(2/2,R). It is found, however, that the typical and atypical representations of Osp(2/2,R) have to be treated separately. It is verified that the coherent states for Osp(2/2,R) are ‘‘closest to classical’’ in the sense of Perelomov.