vertex algebra (Q123852388)
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vector space equipped with a vacuum element, a translation operator and a state‐to‐field map satisfying the Borcherds identity
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | vertex algebra |
vector space equipped with a vacuum element, a translation operator and a state‐to‐field map satisfying the Borcherds identity |
Statements
1986
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![{\displaystyle {\begin{aligned}(V,|0\rangle \in V,&T\colon V\to V,Y(-,z)\colon V\to \operatorname {End} V[[z,z^{-1}]]\\Y(|0\rangle ,z)&=1_{V}\\{}[T,Y(A,z)]&=\partial _{z}Y(A,z)\\T|0\rangle &=0\\(z-w)^{N}Y(A,z)Y(B,w)&=(z-w)^{N}Y(B,w)Y(A,z)\end{aligned}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/5cf64823785437d2c9dfc7ce86f55916f78566f6)
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Sitelinks
Wikipedia(4 entries)
- enwiki Vertex algebra
- frwiki Algèbre vertex
- zh_yuewiki 頂點代數
- zhwiki 頂點代數