arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 0905.1168hep-th
收藏

超弦场论等价性:Ramond扇区

Superstring field theory equivalence: Ramond sector

Michael Kroyter

摘要:

本文证明了由于图像变换算符的碰撞,修正的三次超弦场论的Ramond扇区的有限规范变换是病态的。尽管这个问题,我们研究在何种程度上可以双射经典对应这个理论和(大概是一致的)非多项式理论存在。我们发现,这两个理论之间的经典等价性几乎可以扩展到拉蒙部门:我们构建的弦字段(NS和拉蒙,包括陈-佩顿因素和各种GSO部门)的两个理论,发送解决方案的方式,尊重双方的线性规范对称性的解决方案之间的映射,并保持行动的解决方案不变。等价解周围的微扰谱也是同构的。立方理论的问题意味着线性化的规范对称性的对应不能扩展到有限的规范对称性的对应。因此,我们的等价只是形式上的,因为它把一个相容的理论与一个不相容的理论联系起来。尽管如此,我们相信,等价形式上起作用的事实表明,存在对立方理论的一致修改。我们构建了一个理论,可以被认为是一致的RNS立方理论的第一步。

英文摘要:

We prove that the finite gauge transformation of the Ramond sector of the modified cubic superstring field theory is ill-defined due to collisions of picture changing operators. Despite this problem we study to what extent could a bijective classical correspondence between this theory and the (presumably consistent) non-polynomial theory exist. We find that the classical equivalence between these two theories can almost be extended to the Ramond sector: We construct mappings between the string fields (NS and Ramond, including Chan-Paton factors and the various GSO sectors) of the two theories that send solutions to solutions in a way that respects the linearized gauge symmetries in both sides and keeps the action of the solutions invariant. The perturbative spectrum around equivalent solutions is also isomorphic. The problem with the cubic theory implies that the correspondence of the linearized gauge symmetries cannot be extended to a correspondence of the finite gauge symmetries. Hence, our equivalence is only formal, since it relates a consistent theory to an inconsistent one. Nonetheless, we believe that the fact that the equivalence formally works suggests that a consistent modification of the cubic theory exists. We construct a theory that can be considered as a first step towards a consistent RNS cubic theory.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑