Work

Supertransvectants and symplectic geometry

Year: 2007

Type: preprint

Abstract: 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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.0705.1411

Authors: Gargoubi, Hichem, Ovsienko, Valentin

Institution: Institut Camille Jordan

Language: English

Topic: Homotopy and Cohomology in Algebraic Topology

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W6966558647

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