论文标题
在边界条件和Vasiliev高旋转重力中的时空/纤维二元性
On boundary conditions and spacetime/fibre duality in Vasiliev's higher-spin gravity
论文作者
论文摘要
本文讨论了Vasiliev系统的某些方面，首先是对替代扰动方案的最新建议的审查：解决方案是通过方便地选择同型收缩操作员构建的，并通过均衡地调节量规功能和集成常数。在线性级别，后者是通过展开的方程式编码的纤维元素，可以传播任何自旋的无质量场。因此，线性化的溶液空间，以其时空特性（规律性和边界条件）区分，在纤维中具有相似之处。审查了线性化解决方案不同分支的传统分离，并通过其双纤维表征以及相应的纤维元素在ADS IRREP中的排列进行了审查。首先在紧凑的基础上对这种构造进行了审查，从而捕获了无质量的颗粒和静态高旋转黑色孔，然后在保形的基础上扩展到解决方案，捕获了与边界绿色功能有关的散装到结合的传播器和某些具有消失的尺寸的奇异溶液。在其纤维代表的水平上召回了两个基础之间的非单身转换。
This paper discusses some aspects of the Vasiliev system, beginning with a review of a recent proposal for an alternative perturbative scheme: solutions are built by means of a convenient choice of homotopy-contraction operator and subjected to asymptotically anti-de Sitter boundary conditions by perturbatively adjusting a gauge function and integration constants. At linear level the latter are fibre elements that encode, via unfolded equations, propagating massless fields of any spin. Therefore, linearized solution spaces, distinguished by their spacetime properties (regularity and boundary conditions), have parallels in the fibre. The traditional separation of different branches of linearized solutions via their spacetime features is reviewed, and their dual fibre characterization, as well as the arrangement of the corresponding fibre elements into AdS irreps, is illustrated. This construction is first reviewed for regular and singular solutions in compact basis, thereby capturing massless particles and static higher-spin black holes, and then extended to solutions in conformal basis, capturing bulk-to-boundary propagators and certain singular solutions with vanishing scaling dimension, related to boundary Green's functions. The non-unitary transformation between the two bases is recalled at the level of their fibre representatives.
