On differential equation on four-point correlation function in the conformal Toda field theory
On differential equation on four-point correlation function in the conformal Toda field theory
复制标题
共形Toda场论中四点相关函数的微分方程
DOI：
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发表时间：
2005
期刊：
影响因子：
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通讯作者：
A. Litvinov
中科院分区：
文献类型：
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作者：
V. Fateev;A. Litvinov
研究了共形户田场论中完全简并场的性质。结果表明，一个通用的四点相关函数，只包含一个这样的字段不满足常微分方程，在对比刘维尔场理论。需要对其他字段进行一些额外的假设。在这些假设下，我们写出这样一个微分方程并显式求解。我们利用算子代数的融合性质导出了一组特殊的三点相关函数。结果与半经典计算结果一致。
The properties of completely degenerate fields in the conformal Toda field theory are studied. It is shown that a generic four-point correlation function that contains only one such field does not satisfy an ordinary differential equation, in contrast to the Liouville field theory. Some additional assumptions for other fields are required. Under these assumptions, we write such a differential equation and solve it explicitly. We use the fusion properties of the operator algebra to derive a special set of three-point correlation functions. The result agrees with the semiclassical calculations.