Construction of an identically nilpotent BRS charge in the Kato-Ogawa string theory
Construction of an identically nilpotent BRS charge in the Kato-Ogawa string theory
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加藤-小川弦理论中同幂零 BRS 电荷的构造
DOI：
10.1142/s0217751x99000713
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发表时间：
1998
影响因子：
1.6
通讯作者：
N. Nakanishi
中科院分区：
文献类型：
--
作者：
M. Abe;N. Nakanishi
在以前的工作中，BRS形式中的共形规范二维量子引力已经完全用Wightman函数来解决。本文将这一结果推广到有限长度的闭玻色弦和开玻色弦，而开弦的情形只不过是Kato-Ogawa弦理论。在有限弦情况下，先前发现的场方程反常现象仍然存在，这意味着在Wightman函数水平上对场方程的轻微破坏。利用这一事实，在Kato-Ogawa弦理论的框架下，明确地构造了即使对于D≠26也是BRS电荷为零的。使Kato-Ogawa理论的FP-Ghost真空结构更加透明，避免了半整数鬼数的出现和人为引入不定度规。
In previous work, the conformal-gauge two-dimensional quantum gravity in the BRS formalism has been solved completely in terms of Wightman functions. In the present paper, this result is extended to the closed and open bosonic strings of finite length; the open-string case is nothing but the Kato–Ogawa string theory. The field-equation anomaly found previously, which means a slight violation of a field equation at the level of Wightman functions, remains existent in the finite-string cases. By using this fact, a BRS charge nilpotent even for D≠26 is explicitly constructed in the framework of the Kato–Ogawa string theory. The FP-ghost vacuum structure of the Kato–Ogawa theory is made more transparent; the appearance of half-integral ghost numbers and the artificial introduction of an indefinite metric are avoided.