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 bms3 algebra and show that it is consistent with known results concerning the bms3 module. We take advantage of this framework to prove that bms3-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 bms3-blocks.