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تسجيل مستخدم جديدSupertransvectants and symplectic geometry
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We consider the $osp(1|2)$-invariant bilinear operations on weighted densities on the supercircle $S^{1|1}$ called the supertransvectants. These operations are analogues of the famous Gordan transvectants (or Rankin-Cohen brackets). We prove that these operations coincide with the iterated Poisson and ghost Poisson brackets on ${mathbb R}^{2|1}$ and apply this result to construct star-products involving the supertransvectants.
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