奇异时空中的弦及其普适规范理论
Strings in Singular Space-Times and their Universal Gauge Theory
摘要：
研究玻色弦在奇异目标时空中的传播。为了描述这一点，我们假设这个目标空间是一个光滑的流形$M$的商由一个奇异的叶状${\cal F}$在它。使用的技术工具的规范理论，我们提出了一个光滑的功能，这种情况下，这样的传播是确保躺在奇异的目标壳层，即只有在考虑规范不变的内容的理论。我们的方法的一个主要的新方面是，我们不限制${\cal F}$由一个组动作生成。我们将证明，只要它存在，上述规范是由一个单一的几何和普遍的规范理论，其目标空间是广义切丛$TM\oplus T^*M$。
英文摘要：
We study the propagation of bosonic strings in singular target space-times. For describing this, we assume this target space to be the quotient of a smooth manifold $M$ by a singular foliation ${\cal F}$ on it. Using the technical tool of a gauge theory, we propose a smooth functional for this scenario, such that the propagation is assured to lie in the singular target on-shell, i.e. only after taking into account the gauge invariant content of the theory. One of the main new aspects of our approach is that we do not limit ${\cal F}$ to be generated by a group action. We will show that, whenever it exists, the above gauging is effectuated by a single geometrical and universal gauge theory, whose target space is the generalized tangent bundle $TM\oplus T^*M$.
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