A lecture on the Liouville vertex operators
A lecture on the Liouville vertex operators
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关于刘维尔顶点算子的讲座
DOI：
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发表时间：
2003
期刊：
影响因子：
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通讯作者：
J. Teschner
中科院分区：
文献类型：
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作者：
J. Teschner
我们重新考虑量化刘维尔理论中指数场的构造。它基于连续族或手性顶点算子的自由场构造。我们推导了手性顶点算子的融合关系和编织关系。这使我们能够大大简化指数场局部性和交叉对称性的验证。指数域矩阵元素的计算导致了 Dorn/Otto 和 Zamolodchikov 兄弟提出的公式的建设性推导。
We reconsider the construction of exponential fields in the quantized Liouville theory. It is based on a free-field construction of a continuous family or chiral vertex operators. We derive the fusion and braid relations of the chiral vertex operators. This allows us to simplify the verification of locality and crossing symmetry of the exponential fields considerably. The calculation of the matrix elements of the exponential fields leads to a constructive derivation of the formula proposed by Dorn/Otto and the brothers Zamolodchikov.