2 problems

Let $L(\Lambda)$ be an integrable nonzero-level module over the affine Lie superalgebra in the surrounding section, with $\Lambda\in\Omega_k$ or $\Lambda\in\Omega'_k$. Define…

Let $\mathfrak{W}_{n,\ell}$ be an extended algebra constructed from $\widehat{\mathfrak{gl}}(1\mid 1)$, and let $W^{(2)}_N$ denote the Feigin–Semikhatov algebra at level $K$. Expli…