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arXiv 2209.02253hep-th
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任意维的无质量标量和高自旋BMS

Massless Scalars and Higher-Spin BMS in Any Dimension

Xavier Bekaert, Blagoje Oblak

摘要:

从任意时空维中零无穷远附近无质量标量场的渐近运动学出发,我们建立了BMS群的Carrollian定义及其推广的两个高自旋扩展。第一个扩展表现出共形性让人想起Anti-de Sitter空间中的单点。第二个作用于d 'Alembert方程的辐射解的空间,即Sachs的BMS表示,我们将其与标量无质量庞加莱表示相关并扩展到任何Carrollian流形。相应的包络代数是BMS的高自旋扩展,可以解释为闵可夫斯基时空周围的假定奇异高自旋引力理论的渐近对称性。一路上,我们提供了一个教学介绍卡罗尔几何和BMS的关系。

英文摘要:

Starting from the asymptotic kinematics of massless scalar fields near null infinity in any spacetime dimension, we build two higher-spin extensions of the Carrollian definition of the BMS group and its generalisations. The first extension exhibits conformal properties reminiscent of the singleton in Anti-de Sitter space. The second acts on the space of radiative solutions of the d'Alembert equation, i.e. on Sachs's representation of BMS, which we relate to the scalar massless Poincare representation and extend to any Carrollian manifold. The corresponding enveloping algebra is a higher-spin extension of BMS that can be interpreted as the asymptotic symmetry of a putative exotic higher-spin gravity theory around Minkowski spacetime. Along the way, we provide a pedagogical introduction to Carrollian geometry and its relation to BMS.

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