The classification of chiral WZW models by H4 +(BG, ℤ)
The classification of chiral WZW models by H4 +(BG, ℤ)
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H4 +(BG, ℤ) 手性 WZW 模型的分类
DOI：
10.1090/conm/695/13998
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发表时间：
2017
影响因子：
0.8
通讯作者：
A. Henriques
中科院分区：
文献类型：
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作者：
A. Henriques
我们将手性 WZW 模型的定义属性公理化。我们证明这些模型几乎与 (G, k) 对成双射对应，其中 G 是连通李群，k ∈ H4 + (BG, ℤ) 是受特定正性条件影响的四次上同调类。我们发现了几个额外的模型，它们满足手性 WZW 模型的所有定义属性，但它们不是来自上面的 (G, k) 对。最简单的此类模型是群 ℤ2 在级别 (2, 2) 处仿射 VOA E8 × E8 的简单电流扩展。
We axiomatize the defining properties of chiral WZW models. We show that such models are in almost bijective correspondence with pairs (G, k), where G is a connected Lie group and k ∈ H4 + (BG, ℤ) is a degree four cohomology class subject to a certain positivity condition. We find a couple extra models which satisfy all the defining properties of chiral WZW models, but which don’t come from pairs (G, k) as above. The simplest such model is the simple current extension of the affine VOA E8 × E8 at level (2, 2) by the group ℤ2.