Three-dimensional flat-space gravity, despite having no propagating gravitons, exhibits an infrared triangle: a soft graviton theorem, BMS3 asymptotic symmetries, and gravitational memory effects, all equivalent through sourced Ward identities at null infinity.
Linking Past and Future Null Infinity in Three Dimensions
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abstract
We provide a mapping between past null and future null infinity in three-dimensional flat space, using symmetry considerations. From this we derive a mapping between the corresponding asymptotic symmetry groups. By studying the metric at asymptotic regions, we find that the mapping is energy preserving and yields an infinite number of conservation laws.
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Soft gravitons in three dimensions
Three-dimensional flat-space gravity, despite having no propagating gravitons, exhibits an infrared triangle: a soft graviton theorem, BMS3 asymptotic symmetries, and gravitational memory effects, all equivalent through sourced Ward identities at null infinity.