• DOI:10.1007/jhep11(2020)065
• Corpus ID: 220714242

BMS modular diaries: torus one-point function

@article{Bagchi2020BMSMD,
  title={BMS modular diaries: torus one-point function},
  author={Arjun Bagchi and Poulami Nandi and Amartyajyoti Saha and Zodinmawia},
  journal={arXiv: High Energy Physics - Theory},
  year={2020}
}

• A. Bagchi, Poulami Nandi, +1 author Zodinmawia
• Published 22 July 2020
• Mathematics
• arXiv: High Energy Physics - Theory

Two dimensional field theories invariant under the Bondi-Metzner-Sachs (BMS) group are conjectured to be dual to asymptotically flat spacetimes in three dimensions. In this paper, we continue our investigations of the modular properties of these field theories. In particular, we focus on the BMS torus one-point function. We use two different methods to arrive at expressions for the torus one-point function for general states in the theory. We then concentrate on the BMS highest weight representation, and derive a host of new results, the most important of which is the BMS torus block. In a particular limit of large weights, we derive the leading and subleading pieces of the BMS torus block, which we then use to rederive an expression for the one-point function for BMS primaries. Finally, we perform a bulk computation of a probe scalar in the background of a flatspace cosmological solution based on the geodesic approximation to reproduce our field theoretic results.