Semi-classical BMS-blocks from the Oscillator Construction

Abstract

Flat-space holography requires a thorough understanding of BMS symmetry. We introduce an oscillator construction of the highest-weight representation of the ${\mathfrak{bms}}_3$ algebra and show that it is consistent with known results concerning the ${\mathfrak{bms}}_3$ module. We take advantage of this framework to prove that ${\mathfrak{bms}}_3$-blocks exponentiate in the semi-classical limit, where one of the central charges is large. Within this context, we compute perturbatively heavy, and heavy-light vacuum ${\mathfrak{bms}}_3$-blocks.

26 + 17 pages; v2: Minor improvements, references added, matches published version

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