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Classification of \(U(\mathfrak h)\)-Free Modules over the Heisenberg-Virasoro type Lie superalgebra via Polynomial Shift Operators
Let \(\mathcal L\) be the Heisenberg-Virasoro type Lie superalgebra whose even part is the twisted Heisenberg-Virasoro algebra and whose odd part is an abelian ideal. We classify \(\mathbb Z_2\)-graded \(\mathcal L\)-modules that are free of super-rank \(1|1\) over \(U(\mathfrak h)=\mathbb C[L_0,F_0
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