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Xuanzhong Dai

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Articles

Mathematics > Representation Theory

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By Xuanzhong Dai, Bailin Song
| arXiv
The Feigin-Semikhatov duality asserts that the Heisenberg cosets of the subregular $W$-algebra of $\mathfrak{sl}_n$ at level $k$ and the one of the principal $W$-superalgebra of $\mathfrak{sl}_{n|1}$ at level $\ell$ coincide when the levels satisfy the Feigin-Frenkel relation $(k+n)(\ell+n-1)=1$. A similar duality holds between the subregular $W$-algebra of $\mathfrak{so}_{2n+1}$ and the principal $W$-superalgebra of $\mathfrak{osp}_{2|2n}$.
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[2403.04472] On some simple orbifold affine VOAs at non-admissible level arising from rank one 4D SCFTs

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By Xuanzhong Dai, Justine Fasquel, Bohan Li, Anne Moreau
| arXiv
arXiv:2403.04472 (math) [Submitted on 7 Mar 2024 (v1), last revised 2 Dec 2024 (this version, v2)] View PDF Comments: Subjects: Representation Theory (math.RT); High Energy Physics - Theory (hep-th); Quantum Algebra (math.QA) Cite as: arXiv:2403.04472 [math.RT] (or arXiv:2403.04472v2 [math.RT] for this version) https://doi.org/10.48550/arXiv.2403.04472 Submission history From: Xuanzhong Dai [ view email] [v1] Thu, 7 Mar 2024 13:16:24 UTC (38 KB) [v2] Mon, 2 Dec 2024 08:28:25 UTC (44 KB)...
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