The universal N=2 supersymmetric W_infty algebra exists as a 2-parameter family whose Y-algebra quotients satisfy the conjectured dualities, giving coset realizations and strong rationality for W_k(sl_{n+1|n}) at k = -1 + 1/(n+a+1).
Ribbon categories of weight modules for affine๐ฐ๐ฉ 2 at admissible levels.arXiv:2411.11386 [math.QA]
3 Pith papers cite this work. Polarity classification is still indexing.
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The paper develops a formalism for reduction and inverse-reduction functors and computes the action of reduction on standard modules of V^k(sl_2), noting unbounded spectral sequences.
The finite-length module category over M(1)^+ is a vertex braided tensor category, used to prove semisimplicity of C_{-1}(sp(2n)) and a Schur-Weyl duality via commutant pairs.
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Universal $2$-parameter $\mathcal{N}=2$ supersymmetric $\mathcal{W}_{\infty}$-algebra
The universal N=2 supersymmetric W_infty algebra exists as a 2-parameter family whose Y-algebra quotients satisfy the conjectured dualities, giving coset realizations and strong rationality for W_k(sl_{n+1|n}) at k = -1 + 1/(n+a+1).
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Reduction and inverse-reduction functors I: standard $\mathsf{V^k}(\mathfrak{sl}_2)$-modules
The paper develops a formalism for reduction and inverse-reduction functors and computes the action of reduction on standard modules of V^k(sl_2), noting unbounded spectral sequences.
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Tensor category of $\mathbb{Z}_2$-orbifold of Heisenberg vertex operator algebra and its applications
The finite-length module category over M(1)^+ is a vertex braided tensor category, used to prove semisimplicity of C_{-1}(sp(2n)) and a Schur-Weyl duality via commutant pairs.