To each symmetric graded Frobenius superalgebra we associate a W-algebra. We then define a linear isomorphism between the trace of the Frobenius Heisenberg category and a central reduction of this W-algebra. We conjecture that this is an isomorphism of graded superalgebras.

中文翻译：

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Frobenius W-代数和 Frobenius Heisenberg 范畴的迹

对于每个对称分级 Frobenius 超代数，我们关联一个 W 代数。然后我们在 Frobenius Heisenberg 范畴的迹和这个 W 代数的中心约简之间定义一个线性同构。我们推测这是分级超代数的同构。