Abstract
An explicit representation of the Bn(1) affine Lie algebra (Kac-Moody algebra) is constructed in terms of vertex operators associated with the Chevalley basis of the underlyingfinite-dimentsionnal Lie algebra. This construction, contrary to the simpler current algebra one, gives a concrete realization of the spinor representation of the algebra. The key feature is a partial bosonization of two-dimensional Weyl-Majorana free fermions. The vertex operators associated with the long and short roots of the Bn algebra have fermion number zero and one, respectively.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 317-331 |
| Number of pages | 15 |
| Journal | Nuclear Physics, Section B |
| Volume | 277 |
| Issue number | C |
| DOIs | |
| State | Published - 1986 |
| Externally published | Yes |
ASJC Scopus subject areas
- Nuclear and High Energy Physics
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Alvarez, O., Windey, P., & Mangano, M. (1986). Vertex operator construction of the SO(2n+1) Kac-Moody algebra and its spinor representation. Nuclear Physics, Section B, 277(C), 317-331. https://doi.org/10.1016/0550-3213(86)90444-X