The subregular W-algebra W_{-1}(sl4,f_sub) and the N=2 superconformal algebra at c=-15 are shown to be Kazama-Suzuki dual, giving a complete classification of irreducible highest-weight W_{-1}(sl4,f_sub)-modules.
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On Kazama-Suzuki Duality between $\mathcal{W}_k(\mathfrak{sl}_4, f_{\rm sub})$ and $N=2$ Superconformal Vertex Algebra
The subregular W-algebra W_{-1}(sl4,f_sub) and the N=2 superconformal algebra at c=-15 are shown to be Kazama-Suzuki dual, giving a complete classification of irreducible highest-weight W_{-1}(sl4,f_sub)-modules.