Key result
2d BMSFTs follow the eigenstate thermalization hypothesis with structure constants encoding cosmological horizon perturbations.
This theoretical physics study derives formulae for three-point structure constants in 2d BMSFTs, providing insights into the eigenstate thermalization hypothesis and perturbations of cosmological horizons in 3d asymptotically flat spacetimes.
A bstract Two-dimensional (2d) field theories invariant under the Bondi-Metzner-Sachs algebra, or 2d BMSFTs in short, are putative holographic duals of Einstein gravity in 3d asymptotically flat spacetimes. When defined on a torus, these field theories come equipped with a modified modular structure. We use the modular covariance of the BMS torus two-point function to develop formulae for different three-point structure constants of the field theory. These structure constants indicate that BMSFTs follow the eigenstate thermalization hypothesis, albeit with some interesting changes to usual 2d CFTs. The singularity structures of the structure constants contain information on perturbations of cosmological horizons in 3d asymptotically flat spacetimes, which we show can also be obtained as a limit of BTZ quasinormal modes.
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Bagchi et al. (2023) studied this question. The study demonstrates that 2d BMSFTs follow the eigenstate thermalization hypothesis and their structure constants contain information on perturbations of cosmological horizons.
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