标题： 变形旋量网络用于环引力：迈向双曲扭曲几何 显示英文标题

标题： Deformed Spinor Networks for Loop Gravity: Towards Hyperbolic Twisted Geometries

摘要： 在广义相对论的规范量子化背景下，可以通过将图上每条边连接的 T*SU(2) 相空间替换为 SL(2,C) 作为相空间，对环重力的相空间进行变形。这种变形被认为编码了非零宇宙常数的存在。在这里，我们展示了如何通过自旋变量来参数化这个相空间，从而得到环重力的变形自旋网络，其中顶点处的规范群 SU(2) 的作用被变形。这些应被形式地解释为环重力扭曲几何在双曲曲率下的推广。 显示英文摘要

摘要： In the context of a canonical quantization of general relativity, one can deform the loop gravity phase space on a graph by replacing the T*SU(2) phase space attached to each edge by SL(2,C) seen as a phase space. This deformation is supposed to encode the presence of a non-zero cosmological constant. Here we show how to parametrize this phase space in terms of spinor variables, thus obtaining deformed spinor networks for loop gravity, with a deformed action of the gauge group SU(2) at the vertices. These are to be formally interpreted as the generalization of loop gravity twisted geometries to a hyperbolic curvature.