Einstein-Yang-Mills theory: Asymptotic symmetries

Abstract

Asymptotic symmetries of the Einstein-Yang-Mills system with or without cosmological constant are explicitly worked out in a unified manner. In agreement with a recent conjecture, one finds a Virasoro-Kac-Moody type algebra not only in three dimensions but also in the four dimensional asymptotically flat case.

BMS current algebra in the context of the Newman–Penrose formalism

“…The gauge parameters pξ 1 rY, T R , Ωs, ω 1 rY, T R Ωsq equipped with the modified commutator for field dependent gauge transformations realize the direct sum of the abelian ideal of complex Weyl rescalings with the (extended) bms 4 algebra everywhere in the bulk spacetime,ξ The proof follows by adapating the ones provided in [16,64,65] to the current set-up.…”

Burg-Metzner-Sachs symmetry, string theory, and soft theorems

“…This is the target space story; we are interested in reproducing and reinterpreting these results by studying the string worldsheet theory. The original BMS symmetry [1,2] was in four dimensions; 2 however, many authors have considered extensions in higher dimensions [45][46][47][48][49][50][51][52]. In light of the recent argument for Weinberg's soft graviton theorem in even dimensions from BMS [14], we will hold our discussion for general d-dimensional spacetimes.…”

Electromagnetic and color memory in even dimensions

“…The very existence of the latter, on the other hand, was sometimes doubted in the literature because of the need for too-slow falloffs on the gauge potentials that could in principle lead to divergences in physically sensible quantities. The asymptotic structure of spin-one gauge theories, in particular in connection to soft theorems was widely investigated in the literature [19][20][21][22][23][24][25][26][27][28][29][30][31][32]. More recently, the issue concerning the higher-dimensional extensions of those results was further explored in a number of works [33][34][35][36].…”