标题： 双倍与特殊空间中的有限变换 显示英文标题

标题： Finite Transformations in Doubled and Exceptional Space

摘要： 在双场理论中，规范对称性被实现为加倍时空中的广义微分同胚。 通过理论的一致性，张量场对加倍坐标依赖性受到强烈约束。 这使得有限变换法则在技术和概念上都变得非常复杂。 本文提出了一种新的、物理直观的方法来处理矢量场的有限规范变换。 在我们的方法中，有限规范变换法则表示为动力学自由度所在的极大零子空间上的微分同胚以及嵌入加倍空间内的该零子空间的局部旋转。 我们证明了我们的有限变换自动满足合成法则。 我们还表明，我们的方法避免了所谓的Papadopoulos问题，因此可以描述具有非平凡三形式通量的背景$H_3$。 我们方法的一个额外优势是可以直接应用于一般的扩展场论。 我们通过显式获得SL(5)特殊场论中的有限变换法则来演示这一点。 显示英文摘要

摘要： In the double field theory, gauge symmetries are realized as generalized diffeomorphisms in the doubled spacetime. By consistency of the theory, dependence of tensor fields on the doubled coordinates is strongly constrained. This causes finite transformation law highly complicated, both technically and conceptually. In this paper, we propose a new, physically intuitive approach to finite gauge transformations by utilizing untwisted form of vector fields. In our approach, finite gauge transformation law is expressed in terms of diffeomorphisms on a maximal null subspace on which dynamical degrees of freedom live and of a local rotation of this null subspace embedded inside the doubled space. We show that our finite transformation automatically satisfies the composition law. We also show that ours is free from the so-called Papadopoulos problem, so can describe background with nontrivial three-form flux $H_3$. Added advantage of our approach is straightforward applicability to general extended field theories. We demonstrate this by explicitly obtaining finite transformation law in the SL(5) exceptional field theory.