标题： 受二维启发的四维引力理论 显示英文标题

标题： A 2D Inspired 4D Theory of Gravity

摘要： Virasoro 和 Kac-Moody 代数的余伴随轨道为二维物质场与引力场和规范场的耦合提供了几何作用量。然而，这些作用量所导致的高斯定律约束并不一定局限于二维拓扑结构。事实上，与杨-米尔斯理论相关的约束自然地来自 WZW 模型的余伴随轨道构造。实际上，可以利用杨-米尔斯理论来为定义轨道的固定余伴随矢量提供动力学。在这封信中，我们希望展示微分同胚部分的一个杨-米尔斯经典作用量的类比。通过这个类比，可以假设一个与潜在的二维理论相关的四维引力理论。代替二次微分，(1,3) 假张量成为动力学变量。我们简要讨论了这种张量如何经典地耦合到物质。 显示英文摘要

摘要： Coadjoint orbits of the Virasoro and Kac-Moody algebras provide geometric actions for matter coupled to gravity and gauge fields in two dimensions. However, the Gauss' law constraints that arise from these actions are not necessarily endemic to two-dimensional topologies. Indeed the constraints associated with Yang-Mills naturally arise from the coadjoint orbit construction of the WZW model. One may in fact use a Yang-Mills theory to provide dynamics to the otherwise fixed coadjoint vectors that define the orbits. In this letter we would like to exhibit an analogue of the Yang-Mills classical action for the diffeomorphism sector. With this analogue one may postulate a 4D theory of gravitation that is related to an underlying two dimensional theory. Instead of quadratic differentials, a (1,3) pseudo tensor becomes the dynamical variable. We briefly discuss how this tensor may be classically coupled to matter.