Fusion Rules for the Fractional Level widehat {sl(2)} Algebra

Fusion Rules for the Fractional Level widehat {sl(2)} Algebra
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分数级 Widehat {sl(2)} 代数的融合规则

DOI:
10.1142/s0217732392003645
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发表时间:
1992
影响因子:
1.4
通讯作者:
Y. Yamada
Y. Yamada
中科院分区:
物理与天体物理4区
文献类型:
--
作者:
H. Awata;Y. Yamada

文献摘要

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作为零矢量解耦的条件,我们导出了分数阶代数的融合规则,这些规则具有与仿射Weyl变换相关的有趣结构。结果表明,为了得到非平凡的融合规则,我们必须包括既不属于最高也不属于最低的权重表示的主字段。
We derive, as the condition for the null vector decoupling, the fusion rules for the 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.