论文标题
SuperSrins中的主要是BRST精确运算符
The Mostly BRST Exact Operator in Superstrings
论文作者
论文摘要
在骨弦理论中，在零属表面上对形成型杀戮组（CKG）进行了仔细的尺寸固定，这使得不存在的两个点幅度与相应的场理论表达ARXIV：1906.06051，ARXIV：ARXIV：ARXIV：1909.03672。在Arxiv中固定两个点振幅的量表的重要成分：1909.03672是BRST（MBRST）精确运算符。该操作员在计量固定CKG中的实用性也许不仅限于两个点振幅 - 我们可以插入MBRST精确的操作员来修复完整的杀戮载体（CKV），而不必将顶点操作员的位置固定在一般树级的Bosonic stremonic String Amplitude arxiv arxiv arxiv：2108.05628，Arxiv：2103333333.033。 使用MBRST精确运算符，用纯旋转变量编写，我们获得了预期的两个点超弦振幅ARXIV：2012.03802。在这项工作中，我们探讨了是否可以使用该操作员将CKG修复为SuperStrings中的一般树级幅度。我们发现，通过使用该操作员，明确重新计算了开放字符串中的三个gluon幅度的情况。最后，我们表明，该操作员通过遵循骨弦理论中的Faddeev-Popov量规固定方法而直接出现。该推导与外部字符串的数量无关，因此证明了上述主张。
A careful gauge fixing of the conformal killing group (CKG) on genus zero surfaces in bosonic string theory gives non-vanishing two point amplitudes that match the corresponding field theory expressions arXiv:1906.06051, arXiv:1909.03672 . An important ingredient for gauge fixing two point amplitudes in arXiv:1909.03672 was the mostly BRST (mBRST) exact operator. The utility of this operator in gauge fixing CKG perhaps is not just limited to two point amplitudes - we can insert a mBRST exact operator to fix a conformal killing vector (CKV) instead of fixing the position of a vertex operator in a general tree level bosonic string amplitude arXiv:2108.05628, arXiv:2109.08433. Using the mBRST exact operator, written in the pure spinor variables, we get the expected two point superstring amplitudes arXiv:2012.03802. In this work we explore if it is possible to use this operator for fixing CKG for general tree level amplitudes in superstrings. We find it to be the case by explicitly re-calculating the three gluon amplitude in open strings by making use of this operator. Finally, we show that this operator directly emerges by following a Faddeev-Popov gauge fixing method in bosonic string theory. This derivation is independent of the number of external strings, thus proving the above claim.
