论文标题
内部状态塔的世界理论
Worldline theories with towers of internal states
论文作者
论文摘要
我们研究具有世界内部自由度塔的粒子理论。当封闭字符串的世界表尺寸降低到世界线时，这种理论就会出现，在这种情况下，塔是无限的，有经常间隔的质量。但是我们的讨论比这更笼统，并且存在考虑传播粒子带来的各种内部自由度的范围。例如，可以考虑与其他几何形状相对应的塔，或者没有明显的几何解释，但仍产生模块化不变理论。截短的塔产生了与弦理论共享的非本地粒子理论，其振幅中具有大束缚的鞍点的特性。这为构建外来理论提供了一种新颖的框架，该理论可能具有理想的特性，例如有限性和模块化不变性。
We study particle theories that have a tower of worldline internal degrees of freedom. Such a theory can arise when the worldsheet of closed strings is dimensionally reduced to a worldline, in which case the tower is infinite with regularly spaced masses. But our discussion is significantly more general than this, and there is scope to consider all kinds of internal degrees of freedom carried by the propagating particle. For example it is possible to consider towers corresponding to other geometries, or towers with no obvious geometric interpretation that still yield a modular invariant theory. Truncated towers generate non-local particle theories that share with string theory the property of having a Gross-Mende-like saddle point in their amplitudes. This provides a novel framework for constructing exotic theories which may have desirable properties such as finiteness and modular invariance.
