基于大部分BRST精确算子的Veneziano振幅
The Veneziano Amplitude via Mostly BRST Exact Operator
摘要:
Veneziano振幅是通过插入一个主要是BRST精确算子来固定$PSL(2,\mathbb{R})$对称性的一个自由度而得到的。计算由四个开弦快子和这个规范固定算符组成的五点函数,我们发现它等于Veneziano振幅直到一个符号因子。符号因子被解释为一个带符号的交叉数,结果表明,大多数的BRST准确的操作,这是原来用来提供两点弦振幅,正确地固定$PSL(2,\mathbb{R})$规范对称性的一般振幅。我们猜想一般$n$点树振幅的表达式与插入这个规范固定运营商。
英文摘要:
The Veneziano amplitude is derived from fixing one degree of freedom of $PSL(2,\mathbb{R})$ symmetry by the insertion of a mostly BRST exact operator. Evaluating the five-point function which consists of four open string tachyons and this gauge fixing operator, we find it equals the Veneziano amplitude up to a sign factor. The sign factor is interpreted as a signed intersection number.The result implies that the mostly BRST exact operator, which is originally used to provide two-point string amplitudes, correctly fixes the $PSL(2,\mathbb{R})$ gauge symmetry for general amplitudes. We conjecture an expression for general $n$-point tree amplitudes with an insertion of this gauge fixing operator.
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