论文标题
泊松 - lie t偶尔性缺陷和目标空间融合
Poisson-Lie T-duality defects and target space fusion
论文作者
论文摘要
长期以来，已知拓扑缺陷编码物理系统之间的对称性和二元性。在弦理论的背景下，在世界表级别进行了深入研究缺陷。尽管以许多开创性的里程碑为标志，但缺陷的目标空间图片知之甚少。在本文中，我们在目标空间的层面上表明，可以将泊松lie t偶（可以用作拓扑缺陷。通过手头上的结果，我们可以假设内核捕获了与泊松lie t二维对RR领域的作用相关的傅立叶 - 穆凯变换。拓扑缺陷具有可以将它们融合在一起或与世界表边界条件融合在一起的非凡特性。我们研究了提出的广义T倍拓扑缺陷的融合如何始终导致边界条件的已知二元性转化。最后，我们从广义T偶二维中退后一步，我们解决了在目标空间水平上理解融合效果的一般问题。我们建议使用Dirac几何形状的框架，并用这种语言制定拓扑缺陷和D-Branes的融合。
Topological defects have long been known to encode symmetries and dualities between physical systems. In the context of string theory, defects have been intensively studied at the level of the worldsheet. Although marked by a number of pioneering milestones, the target space picture of defects is much less understood. In this paper, we show, at the level of the target space, that Poisson-Lie T-duality can be encoded as a topological defect. With this result at hand, we can postulate the kernel capturing the Fourier-Mukai transform associated to the action of Poisson-Lie T-duality on the RR-sector. Topological defects have the remarkable property that they can be fused together or, alternatively, with worldsheet boundary conditions. We study how fusion of the proposed generalised T-duality topological defect consistently leads to the known duality transformations for boundary conditions. Finally, taking a step back from generalised T-duality, we tackle the general problem of understanding the effect of fusion at the level of the target space. We propose to use the framework of Dirac geometry and formulate the fusion of topological defects and D-branes in this language.
