标题： 平坦时空中的全息理论：卡罗尔的情况 显示英文标题

标题： Holography in Flat Spacetimes: the case for Carroll

摘要： 我们比较和对比了渐近平坦时空中的全息方法，即基于Mellin变换的二维余维天体方法和基于修改后的Mellin变换的一维余维Carrollian方法，并阐明了一些天体方法的问题如何可以通过Carrollian方法得到修正。将平坦全息视为AdS/CFT的极限，使得一维余维对偶更加合理，我们之前从AdS Witten图构建Carrollian相关性的方法证明了这一点。在本文中，我们展示了如何将之前的分析推广到具有自旋的算符。我们详细计算了许多显式的非平凡例子（十二个），并展示了AdS$_4$Witten图的极限与三维边界对称性考虑之间的匹配，从而进一步加强了Carrollian对偶的论点。 显示英文摘要

摘要： We compare and contrast the two approaches of holography in asymptotically flat spacetimes, viz. the co-dimension two Celestial approach based on the Mellin transformation and the co-dimension one Carrollian approach based on the modified Mellin and elucidate how some of the problems of the Celestial approach can be rectified by the Carrollian one. Considering flat holography as a limit from AdS/CFT makes a co-dimension one dual more plausible, and our previous construction of Carrollian correlations from AdS Witten diagrams is testimony to this. In this paper, we show how to generalize our earlier analysis for operators with spin. We work out a large number of explicit non-trivial examples (twelve) and show matching between the limit of AdS$_4$ Witten diagrams and 3d boundary symmetry considerations, thus making the case for the Carrollian dual even stronger.