FUSION RULES FOR THE FRACTIONAL LEVEL $\widehat{{\rm sl}(2)}$ ALGEBRA

Modern Physics Letters A - Tập 07 Số 13 - Trang 1185-1195 - 1992
Hidetoshi Awata1,2, Yasuhiko Yamada1,2
1Department of Physics, Hokkaido University, Sapporo 060, Japan
2National Laboratory for High Energy Physics (KEK), Tsukuba, Ibaraki 305, Japan

Tóm tắt

We derive, as the condition for the null vector decoupling, the fusion rules for the [Formula: see text] algebra with fractional level, which have an interesting structure related to affine Weyl transformation. It is shown that, to get non-trivial fusion rules, we must include the primary field which belongs to neither the highest nor the lowest weight representations.

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