Comments on BRST quantization of strings
Comments on BRST quantization of strings
复制标题
字符串BRST量化评论
DOI：
10.1088/1126-6708/2005/05/001
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发表时间：
2005
影响因子：
5.4
通讯作者：
Kostas Skenderis
中科院分区：
文献类型：
--
作者：
B. Craps;Kostas Skenderis
重新审视了弦的BRST量子化，简化了散射振幅的路径积分测度的推导。规范不变性，由于零模式的鬼部门考虑使用Batalin-Vilkovisky形式主义。这涉及到提升黎曼曲面的模量为BRST变换作用的量子力学变量。熟悉的鬼和antighost零模式插入恢复后，集成了辅助领域。与通常的处理相反，包括所有零模式插入的规范固定动作是BRST不变的。BRST沃德身份由于模空间的边界可能异常的贡献被复制在一个新的方式。明确讨论了两种模型：玻色弦理论和拓扑引力耦合到拓扑A模型。
The BRST quantization of strings is revisited and the derivation of the path integral measure for scattering amplitudes is streamlined. Gauge invariances due to zero modes in the ghost sector are taken into account by using the Batalin-Vilkovisky formalism. This involves promoting the moduli of Riemann surfaces to quantum mechanical variables on which BRST transformations act. The familiar ghost and antighost zero mode insertions are recovered upon integrating out auxiliary fields. In contrast to the usual treatment, the gauge-fixed action including all zero mode insertions is BRST invariant. Possible anomalous contributions to BRST Ward identities due to boundaries of moduli space are reproduced in a novel way. Two models are discussed explicitly: bosonic string theory and topological gravity coupled to the topological A-model.