Asymptotic symmetries and celestial CFT
Asymptotic symmetries and celestial CFT
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渐近对称性和天体 CFT
DOI：
--
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发表时间：
2020
影响因子：
5.4
通讯作者：
A. Puhm
中科院分区：
文献类型：
--
作者：
L. Donnay;S. Pasterski;A. Puhm
我们提供了一个统一的处理共形软Goldstone模式时出现的自旋1或自旋2共形的主要波函数成为纯规范的共形维数的某些整数值。这一努力使我们处于两个正在进行的辩论的十字路口，即天体CFT的适当共形基是什么，以及零无穷大爱因斯坦引力的渐近对称群应该是什么。有限能量波函数被主连续级数捕获，并形成一个完整的基。我们证明了具有解析连续共形维数的共形基色可以理解为主级数上的某些围道积分。这澄清了如何共形软戈德斯通模式适合，但不增加这个基础。共形软引力子的二维和零的阴影变换相关的产生超旋转和非亚纯的天体的超同态，我们称之为阴影超旋转。这推翻了Virasoro和Diff（S2）的渐近对称性建议，并将它们相关的软电荷的讨论放在同等的地位，软电荷对应于二维天体CFT中的应力张量及其阴影。
We provide a unified treatment of conformally soft Goldstone modes which arise when spin-one or spin-two conformal primary wavefunctions become pure gauge for certain integer values of the conformal dimension ∆. This effort lands us at the crossroads of two ongoing debates about what the appropriate conformal basis for celestial CFT is and what the asymptotic symmetry group of Einstein gravity at null infinity should be. Finite energy wavefunctions are captured by the principal continuous series ∆ ∈ 1 + iℝ and form a complete basis. We show that conformal primaries with analytically continued conformal dimension can be understood as certain contour integrals on the principal series. This clarifies how conformally soft Goldstone modes fit in but do not augment this basis. Conformally soft gravitons of dimension two and zero which are related by a shadow transform are shown to generate superrotations and non-meromorphic diffeomorphisms of the celestial sphere which we refer to as shadow superrotations. This dovetails the Virasoro and Diff(S2) asymptotic symmetry proposals and puts on equal footing the discussion of their associated soft charges, which correspond to the stress tensor and its shadow in the two-dimensional celestial CFT.
影响因子：
3.5
作者：
Adamo T
通讯作者：
Adamo T
影响因子：
5.4
作者：
A. Fotopoulos;S. Stieberger;T. R. Taylor;B. Zhu
通讯作者：
A. Fotopoulos;S. Stieberger;T. R. Taylor;B. Zhu
影响因子：
5.4
作者：
E. Flanagan;Kartik Prabhu;I. Shehzad
通讯作者：
E. Flanagan;Kartik Prabhu;I. Shehzad