W-algebras as coset vertex algebras
W-algebras as coset vertex algebras
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DOI：
10.1007/s00222-019-00884-3
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发表时间：
2018-01
影响因子：
3.1
通讯作者：
T. Arakawa;T. Creutzig;A. Linshaw
中科院分区：
文献类型：
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作者：
T. Arakawa;T. Creutzig;A. Linshaw
我们证明了关于ADE型极小级数主W-代数的陪集构造的长期猜想。为此，我们首先在泛主W-代数的陪集实现上建立了Feigin猜想，它不一定是简单的。作为推论，建立了主W-代数“离散序列”的惟一性，给出了A、D型有理单位W-代数的第二个陪集实现，并导出了Kazama-Suzuki陪集顶点超代数的合理性。
We prove the long-standing conjecture on the coset construction of the minimal series principalW-algebras ofADEtypes in full generality. We do this by first establishing Feigin’s conjecture on the coset realization of the universal principalW-algebras, which are not necessarily simple. As consequences, the unitarity of the “discrete series” of principalW-algebras is established, a second coset realization of rational and unitaryW-algebras of typeAandDare given and the rationality of Kazama–Suzuki coset vertex superalgebras is derived.