Generalized BMS algebra in higher even dimensions

TL;DR

This paper explores asymptotic symmetries in higher even dimensions, defining superrotation charges beyond linearized gravity, and links these to soft graviton theorems, advancing understanding of gravitational symmetries.

Contribution

It introduces a new definition of superrotation charges in higher dimensions and establishes their relation to soft graviton theorems beyond linearized gravity.

Findings

Superrotation charges are well-defined in higher even dimensions.

Ward identities for superrotation follow from subleading soft graviton theorems.

The work extends the understanding of asymptotic symmetries in higher-dimensional gravity.

Abstract

We revisit the status of asymptotic symmetries in higher even dimensions and propose a definition of superrotation charge beyond linearized gravity. We prove that there is a well-defined spacetime action of the superrotation charge on the space of asymptotically flat geometries. Additionally, we demonstrate that the Ward identity associated with superrotation charges follows from the subleading soft graviton theorem, which is a universal constraint (in $d> 4$) along with the leading soft graviton theorem.