论文标题
Brst timelike liouville理论的共同学
BRST cohomology of timelike Liouville theory
论文作者
论文摘要
我们在每种情况下，计算了具有通用的真实中央电荷$ C_L $的间距和时型Liouville理论的相对BRST共同体的遗传学领域，并与Spacelike Coulomb Gas和通用的横向CFT耦合。本文是Arxiv：1905.12689的同伴，其主要目标是用$ c_l \ le 1 $彻底表征了时间层理论的共同体，并在此定义了。我们还使用公式来重新审视$ c_l> 1 $的间距般的liouville理论的BRST共同体，其中包括广义最小的重力。我们在时间般的理论和某些空间模型中证明了Hermitian部门的无轴定理。
We compute the Hermitian sector of the relative BRST cohomology of the spacelike and timelike Liouville theories with generic real central charge $c_L$ in each case, coupled to a spacelike Coulomb gas and a generic transverse CFT. This paper is a companion of arXiv:1905.12689, and its main goal is to completely characterize the cohomology of the timelike theory with $c_L \le 1$ which was defined there. We also apply our formulas to revisit the BRST cohomology of the spacelike Liouville theory with $c_L > 1$, which includes generalized minimal gravity. We prove a no-ghost theorem for the Hermitian sector in the timelike theory and for some spacelike models.
