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On Miura maps for W-superalgebras

Quantum Algebra 2023-08-14 v2 Mathematical Physics math.MP

Abstract

We prove the injectivity of the Miura maps for W-superalgberas and the isomorphisms between the Poisson vertex superalgebras obtained as the associated graded of the W-superalgebras in terms of the Li's filtration and the level 0 Poisson vertex superalgebras associated with the arc spaces of the corresponding Slodowy slices in full generality.

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Cite

@article{arxiv.2005.10472,
  title  = {On Miura maps for W-superalgebras},
  author = {Shigenori Nakatsuka},
  journal= {arXiv preprint arXiv:2005.10472},
  year   = {2023}
}

Comments

19 pages, final version