论文标题
桥接卡洛利亚和天体全息图
Bridging Carrollian and Celestial Holography
论文作者
论文摘要
重力为$ 4D $渐近平坦的时空构成了具有泄漏边界条件的重力系统的原型示例。在进行对[1]的分析时，我们认为对这种系统的全息描述要求将二重性理论耦合到零无限的双重理论与编码编码辐射的某些外部资源，这些辐射达到了共同边界，并负责对这些指控的不保守。特别是，我们表明，居住在零无限的保形的Carrollian田间理论的沃德（Ward）身份繁殖了BMS Flux-Balance定律。我们还得出了共形的Carrollian田间理论的低点相关函数的一般形式，并展示了新的解决方案分支，该分支被认为是全息目的的相关性。然后，我们通过将Carrollian病房的身份映射到那些通过合适的整体变换将Carrollian病房的身份映射到约束天体操作员的人，将我们的Carrollian方法与天体全息建议联系起来。
Gravity in $4d$ asymptotically flat spacetime constitutes the archetypal example of a gravitational system with leaky boundary conditions. Pursuing our analysis of [1], we argue that the holographic description of such a system requires the coupling of the dual theory living at null infinity to some external sources encoding the radiation reaching the conformal boundary and responsible for the non-conservation of the charges. In particular, we show that the sourced Ward identities of a conformal Carrollian field theory living at null infinity reproduce the BMS flux-balance laws. We also derive the general form of low-point correlation functions for conformal Carrollian field theories and exhibit a new branch of solutions, which is argued to be the relevant one for holographic purposes. We then relate our Carrollian approach to the celestial holography proposal by mapping the Carrollian Ward identities to those constraining celestial operators through a suitable integral transform.
