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arXiv · 2012.09173

Semi-classical BMS-blocks from the Oscillator Construction

Martin Ammon·Seán Gray·Claire Moran·Michel Pannier·Katharina Wölfl
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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.

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Martin Ammon, Seán Gray, Claire Moran, Michel Pannier, Katharina Wölfl. 2020-12-16. Semi-classical BMS-blocks from the Oscillator Construction. https://doi.org/10.1007/jhep04(2021)155

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