Asymptotically flat spacetimes in three-dimensional higher spin gravity

Abstract

A consistent set of asymptotic conditions for higher spin gravity in three dimensions is proposed in the case of vanishing cosmological constant. The asymptotic symmetries are found to be spanned by a higher spin extension of the BMS3 algebra with an appropriate central extension. It is also shown that our results can be recovered from the ones recently found for asymptotically AdS3 spacetimes by virtue of a suitable gauge choice that allows to perform the vanishing cosmological constant limit.

12 pages, no figures. v2: References added and typos corrected. A new appendix is also included. v3: Typos corrected. Matches published version

References in corpus (8)

• Asymptotic symmetries of three-dimensional gravity coupled to higher-spin fields
• Nonlinear W(infinity) Algebra as Asymptotic Symmetry of Three-Dimensional Higher Spin Anti-de Sitter Gravity
• The BMS/GCA correspondence
• Symmetries of Holographic Minimal Models
• Higher spin theory in 3-dimensional flat space
• Dual dynamics of three dimensional asymptotically flat Einstein gravity at null infinity
• Gravitational Cheshire effect: Nonminimally coupled scalar fields may not curve spacetime
• On the higher-spin charges of conical defects

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