论文标题
封闭的字符串理论，没有自由级别的级别匹配
Closed string theory without level-matching at the free level
论文作者
论文摘要
在传统形式中，封闭的字符串字段理论中的字符串字段受到级别匹配条件的约束，该条件在动作旁边施加。通过类似于拉蒙德行业的类似问题，奥卡瓦（Okawa）和萨库奇奇（Sakaguchi）理解了它如何通过引入虚假的自由领域来提高这种情况并与无约束的领域一起工作。这些作者还指出，由于一个在平坦空间上微不足道的新量规场，可能会存在新的背景，但可以在环形背景上产生通量。在本文中，我们对次要的自由理论进行了完整的研究，目的是为研究背景而无需水平匹配而设定阶段。
In its traditional form, the string field in closed string field theory is constrained by the level-matching condition, which is imposed beside the action. By analogy with the similar problem for the Ramond sector, it was understood by Okawa and Sakaguchi how to lift this condition and work with unconstrained field by introducing spurious free fields. These authors also pointed out that new backgrounds may exist thanks to a new gauge field which is trivial on flat space, but can generate fluxes on a toroidal background. In this paper, we perform a complete study of the free theory at the tachyonic and massless levels with the aim of setting the stage for studying backgrounds without level-matching.
