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ON MIURA MAPS FOR \( \mathcal{W} \)-SUPERALGEBRAS

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We prove the injectivity of the Miura maps for \( \mathcal{W} \)-superalgebras and the isomorphisms between the Poisson vertex superalgebras obtained as the associated graded of the \( \mathcal{W} \)-superalgebras in terms of 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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  1. Kavli Institute for the Physics and Mathematics of the Universe (WPI), The University of Tokyo, 5-1-5, Kashiwanoha, Kahsiwa Chiba, 277-8583, Japan

    SHIGENORI NAKATSUKA

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Shigenori Nakatsuka is supported by JSPS KAKENHI Grant Number 20J10147, by the Program for Leading Graduate Schools, MEXT, Japan and by World Premier International Research Center Initiative (WPI Initiative), MEXT, Japan.

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NAKATSUKA, S. ON MIURA MAPS FOR \( \mathcal{W} \)-SUPERALGEBRAS. Transformation Groups 28, 375–399 (2023). https://doi.org/10.1007/s00031-021-09679-4

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