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Abstract: We consider the $osp(1|2)$-invariant bilinear operations on weighteddensities on the supercircle $S^{1|1}$ called the supertransvectants. Theseoperations are analogues of the famous Gordan transvectants (or Rankin-Cohenbrackets). We prove that these operations coincide with the iterated Poissonand ghost Poisson brackets on ${\mathbb R}^{2|1}$ and apply this result toconstruct star-products involving the supertransvectants.



Autor: Hichem Gargoubi, Valentin Ovsienko (ICJ)

Fuente: https://arxiv.org/







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